Wednesday, August 26, 2020

Pablo Picasso my version Essay Example For Students

Pablo Picasso my variant Essay English Version I will discuss the well known Spanish painter Pablo Uric y Picasso. Pablo Uric y Picasso was a well known Spanish painter during the early sasss. He was additionally a popular stone worker, ceramicist, printmaker, and stage creator. He was generally well known for his works of art. He painted in a theoretical way which changed the impacts of the works of art. Picasso artistic creations are found in numerous galleries. These composition are isolated into numerous periods that relate to his life. The main time frame was the blue time frame. This period had pitiful works of art in the shade of blue and green. The subsequent period was that of the pink time frame. During this period, his work was progressively merry. The most well known composition of this time was the Boy With a Pipe. The third time frame was the African-Influenced Period. The works of art of this time were impacted by African curios. The most well known artistic creation was that of The Decompiles Davidson. The following time frame was that of Cubism. This period had two sections. These were that of manufactured and diagnostic. Towards the last piece of his artistic creation vocation, Pablo Picasso came into style and oddity.

Saturday, August 22, 2020

Writing On Business Research Methodology -Myassignmenthelp.Com

Question: Examine About The Writing On Business Research Methodology? Answer: Introducation I have played out the examination on Evaluating the effect of HR the executives capacities in business execution in Australia from the year 2000. The exploration procedure has been valuable for me as I have had the option to accumulate information on the patterns of HRM works in Australia and the development of the exercises. It is important in my future vocation alternatives as I will have an edge over the changing example of the enterprises and can receive the necessary abilities rapidly. In this examination, I have taken the instance of Hotel Hilton and contemplated their successful administration capacities. This has been useful in getting an outline of the HR laws of the nation and how the laws have changed since 2000 to make the work the executives effective. While directing the exploration, I have figured out how to make a system and different parts of an examination work, which is important for my higher investigations just as in various circumstances that would emerge over t he span of life, as a methodology is useful in playing out any work in an orderly way (Flick 2015). Helpfulness of the learning procedure on course, program, future profession, life by and large The taking in process from this exploration has been extremely useful in social event a wide scope of information on the work state of Australia and productivity of the HRM capacities in the ventures, with an attention on the inn and friendliness industry. The exploration has helped me to find out about different variables of the economy and the inn business in detail. This has not just helped me to increase a superior information about my course and study program in the college and get passing marks, yet it will likewise assist me with sharing my insight during introductions and gatherings on the related points, for example, in my future profession choice in this field. I can likewise distribute articles in the magazines, diaries and different distributions about the related issues and other future scientists can take help from that. Indeed, even during the time spent life, I had the option to find out about the effect of the HRM capacities have on the lives of individuals straightf orwardly and in a roundabout way connected with the organizations and associations. This will be useful in my future as I will have the option to take a gander at the diverse administration capacities and their suggestions from alternate points of view. Happenings in the learning procedure During the learning procedure of the examination, I got to different insightful articles, books, diaries and so on from the college library and national library in the town. I read numerous distributions of the famous journalists on the related subjects to increase a knowledge about the HRM capacities and laws in Australia, the business condition, sway on the representatives and extents of progress (Hair 2015). I likewise investigated instructive recordings on YouTube and web based life and conversed with the directors and different staffs of Hotel Hilton to find out about their working condition, effectiveness of the administration and the business execution. From this perception, I attempted to deduce consistent connection and clarify the causal impact of the HRM capacities on the presentation of the lodging just as the exhibition of the whole business since 2000. I have utilized both the essential and optional information for this exploration. Essential information is useful to ac cumulate information about the examination point from the individuals straightforwardly included or influenced by it and auxiliary information is useful to approve the discoveries from the essential information (Best and Kahn 2016). To gather the essential information, I structured a poll and directed an overview to get the direct understanding from the representatives of Hotel Hilton and approved the exploration issue and technique by the auxiliary information gathered from different valid sources. Handiness of business look into in examine learning process The learning procedure of an exploration includes numerous significant undertakings. From making a technique, planning research points and destinations to gather and investigating the information to get the discoveries are fundamental piece of an exploration venture (Bryman and Bell 2015). Toward the finish of the examination, it is very fundamental to set up a connection of the discoveries with the goals; else, the motivation behind the exploration won't be satisfied. Business investigate incorporates examining different parts of a specific business to accumulate inside and out information about the exploration subject. In this investigation, I needed to concentrate on the HRM elements of the Hotel Hilton in Australia to think about the viability of the administration and their effect on the workers, just as, the principles and guidelines of the nation that characterizes the way of each association in this specific industry. I have additionally found out about the example of executi on of this industry through on the point of view of Hotel Hilton. Subsequently, to increase significant information about the examination theme, the business inquire about has been very useful. Clarification of the learning procedure From the examination venture, I have learnt different parts of an exploration and business state of Australia. Alongside the monetary state of the nation, I additionally found out about the inn and accommodation industry and the effect of the working of the human asset the board on the business execution since 2000. I decided to gather and investigate both essential and optional information to get a wide perspective on the exploration subject and its suggestions on the business, upheld by the perspectives on the individuals legitimately influenced by the HRM capacities. Utilization of the learning later on The reason for this exploration paper is to discover the effect of the HR capacities on the business execution of the business in Australia since 2000. Through this exploration, not just I increased an in-sight about different parts of this industry, yet about the effect of the economy too. This is useful in future possibility of my profession as I need to make significant commitment in this field of study and toss some light to another point of view of the issues and openings. The exploration procedure has helped me in preparing myself by upgrading my examination and scientific aptitudes, improving my portrayal capacities and finishing the venture inside anticipated course of events. There is an improvement in my own aptitudes and execution after this exploration venture, which, I accept, will keep on giving me benefits in the entirety of my future undertakings. References Best, J.W. what's more, Kahn, J.V., 2016.Research in instruction. Pearson Education India. Bryman, A. what's more, Bell, E., 2015. Business explore strategies. Oxford University Press, USA. Flick, U., 2015.Introducing examination strategy: An apprentice's manual for doing an exploration venture. Sage. Hair, J.F., 2015.Essentials of business investigate strategies. ME Sharpe.

Friday, August 21, 2020

A look behind the application curtain COLUMBIA UNIVERSITY - SIPA Admissions Blog

A look behind the application curtain COLUMBIA UNIVERSITY - SIPA Admissions Blog Im often asked what the average applicant looks like. Honestly, theres no set formula to getting in at SIPA. And I mean this literally no single career, academic background, country of origin or volunteer experience is going to earn you a seat at SIPA. Thats something you have to do on your own as an applicant by  playing to your strengths and submitting a superb  application for admission.  But, I do have some interesting stats to share from this years MIA, MPA, MPA-DP applicant pool. Heres a glimpse into a few charts from our application system. The chart  Applications Submitted  is pretty  telling. The Fall 2016 application cycle opened in August 2015, and applications were quietly coming in throughout the early fall. Then you can clearly see spikes in the submission rates right around our application deadlines of    Nov. 2 for the early-action round, Jan. 5 for the fellowship round, and Feb. 5 for the final round. What does this mean? Well, you all really do wait until the last minute to submit your applications. (Thats not a practice I recommend our future applicants to follow.) Not surprisingly, most of you  said you wanted to be reviewed for SIPAs merit  aid. (Blue is yes and green is no.) Thus, that is why  our fellowship (aka scholarship) deadline is a month earlier than our general deadline. (And why we do not  consider anyone for aid past the deadline.) We need the extra time to review your application and consider for fellowship. Generally speaking, the top third of applicants receive funding, but that can vary depending on how strong the applicant pool is; and while awards can go up to full tuition and fees, the average award for incoming students is half tuition and fees.  So if youre still researching funding sources, check out  our External Funding database  today. Heres a look at the concentration breakdown our applicants have applied to this year. I often get asked what the breakdown of our applicants are by concentration. As you can see from the chart above its almost an even six-way split.  The follow-up question usually is  about the  chances of admission increasing or decreasing depending on the concentration  selected. The short answer is absolutely not. (The longer answer is it depends on if youre a good fit for that concentration and if you tailored your application to it or not.) Since were on the blog, I decided to share a breakdown of what our readers look like. Thanks to a fancy stalking tool that links our application system to the blog, I can easily tell  who has visited  the Admissions Blog.  But wait, this chart is broken down by concentration as well. Great catch! Its pretty interesting to see that the  applicants by concentration breakdown closely mirrors that of the ones who have visited the blog. I like to interpret it as meaning the blog is so  popular that  everyone  is reading it! (OK, so its not an exact link, but you get the hint.) When we say our students hail from every corner of the globe, we mean it. This year, our applicants come from 142* different countries. (Depending on who you ask, there are 195 or 196 independent countries in the world today). Our applicants are from: 1. Afghanistan 49.     Greece 97.     Paraguay 2. Albania 50.     Guatemala 98.     Peru 3. Algeria 51.     Guinea 99.     Philippines 4. Andorra 52.     Haiti 100. Poland 5. Argentina 53.     Honduras 101. Portugal 6. Australia 54.     Hong Kong S.A.R. 102. Qatar 7. Austria 55.     Hungary 103. Romania 8. Azerbaijan 56.     Iceland 104. Russia 9. Bahrain 57.     India 105. Rwanda 10.     Bangladesh 58.     Indonesia 106. Saint Lucia 11.     Belarus 59.     Iran 107. Saudi Arabia 12.     Belgium 60.     Iraq 108. Senegal 13.     Belize 61.     Ireland 109. Serbia 14.     Bhutan 62.     Israel 110. Sierra Leone 15.     Bolivia 63.     Italy 111. Singapore 16.     Bosnia and Herzegovina 64.     Jamaica 112. Slovakia 17.     Brazil 65.     Japan 113. South Africa 18.     British Virgin Islands 66.     Jordan 114. South Korea 19.     Bulgaria 67.     Kazakhstan 115. Spain 20.     Burkina Faso 68.     Kenya 116. Sri Lanka 21.     Burundi 69.     Kuwait 117. Sudan 22.     Cameroon 70.     Kyrgyzstan 118. Sweden 23.     Canada 71.     Latvia 119. Switzerland 24.     Chile 72.     Lebanon 120. Syria 25.     China 73.     Liberia 121. Taiwan 26.     Colombia 74.     Lithuania 122. Tanzania 27.     Congo (Brazzaville) 75.     Madagascar 123. Thailand 28.     Congo (Kinshasa) 76.     Malawi 124. The Former Yugoslav Republic of Macedonia 29.     Costa Rica 77.     Malaysia 125. The Gambia 30.     Cote DIvoire 78.     Mali 126. Timor-Leste 31.     Croatia 79.     Mauritania 127. Togo 32.     Cuba 80.     Mexico 128. Trinidad and Tobago 33.     Cyprus 81.     Moldova 129. Tunisia 34.     Czech Republic 82.     Mongolia 130. Turkey 35.     Denmark 83.     Morocco 131. Uganda 36.     Dominican Republic 84.     Mozambique 132. Ukraine 37.     Ecuador 85.     Myanmar 133. United Arab Emirates 38.     Egypt 86.     Namibia 134. United Kingdom 39.     El Salvador 87.     Nepal 135. United States 40.     Eritrea 88.     Netherlands 136. Uruguay 41.     Estonia 89.     New Zealand 137. Uzbekistan 42.     Ethiopia 90.     Nicaragua 138. Venezuela 43.     Finland 91.     Niger 139. Vietnam 44.     France 92.     Nigeria 140. Yemen 45.     Gabon 93.     Norway 141. Zambia 46.     Georgia 94.     Pakistan 142. Zimbabwe 47.     Germany 95.     Palestine 48.     Ghana 96.     Panama And as  always, it is going to take us some time to review all of the applications, so please be patient with us. Admissions decisions will  be  released in  mid-March and rolling thereafter.Alright! Those are all of the insights I have for today. I hope you found this information interesting.  While I cant share any additional details about our application pool at this time, you are welcome to email us at sipa_admission@columbia.edu if you have any questions about the status of your individual application  or the  application requirements. Until next time. [Photo courtesy of  http://imightneedanap.com] *updated list includes self-reported citizenship and mailing and permanent addresses.

A look behind the application curtain COLUMBIA UNIVERSITY - SIPA Admissions Blog

A look behind the application curtain COLUMBIA UNIVERSITY - SIPA Admissions Blog Im often asked what the average applicant looks like. Honestly, theres no set formula to getting in at SIPA. And I mean this literally no single career, academic background, country of origin or volunteer experience is going to earn you a seat at SIPA. Thats something you have to do on your own as an applicant by  playing to your strengths and submitting a superb  application for admission.  But, I do have some interesting stats to share from this years MIA, MPA, MPA-DP applicant pool. Heres a glimpse into a few charts from our application system. The chart  Applications Submitted  is pretty  telling. The Fall 2016 application cycle opened in August 2015, and applications were quietly coming in throughout the early fall. Then you can clearly see spikes in the submission rates right around our application deadlines of    Nov. 2 for the early-action round, Jan. 5 for the fellowship round, and Feb. 5 for the final round. What does this mean? Well, you all really do wait until the last minute to submit your applications. (Thats not a practice I recommend our future applicants to follow.) Not surprisingly, most of you  said you wanted to be reviewed for SIPAs merit  aid. (Blue is yes and green is no.) Thus, that is why  our fellowship (aka scholarship) deadline is a month earlier than our general deadline. (And why we do not  consider anyone for aid past the deadline.) We need the extra time to review your application and consider for fellowship. Generally speaking, the top third of applicants receive funding, but that can vary depending on how strong the applicant pool is; and while awards can go up to full tuition and fees, the average award for incoming students is half tuition and fees.  So if youre still researching funding sources, check out  our External Funding database  today. Heres a look at the concentration breakdown our applicants have applied to this year. I often get asked what the breakdown of our applicants are by concentration. As you can see from the chart above its almost an even six-way split.  The follow-up question usually is  about the  chances of admission increasing or decreasing depending on the concentration  selected. The short answer is absolutely not. (The longer answer is it depends on if youre a good fit for that concentration and if you tailored your application to it or not.) Since were on the blog, I decided to share a breakdown of what our readers look like. Thanks to a fancy stalking tool that links our application system to the blog, I can easily tell  who has visited  the Admissions Blog.  But wait, this chart is broken down by concentration as well. Great catch! Its pretty interesting to see that the  applicants by concentration breakdown closely mirrors that of the ones who have visited the blog. I like to interpret it as meaning the blog is so  popular that  everyone  is reading it! (OK, so its not an exact link, but you get the hint.) When we say our students hail from every corner of the globe, we mean it. This year, our applicants come from 142* different countries. (Depending on who you ask, there are 195 or 196 independent countries in the world today). Our applicants are from: 1. Afghanistan 49.     Greece 97.     Paraguay 2. Albania 50.     Guatemala 98.     Peru 3. Algeria 51.     Guinea 99.     Philippines 4. Andorra 52.     Haiti 100. Poland 5. Argentina 53.     Honduras 101. Portugal 6. Australia 54.     Hong Kong S.A.R. 102. Qatar 7. Austria 55.     Hungary 103. Romania 8. Azerbaijan 56.     Iceland 104. Russia 9. Bahrain 57.     India 105. Rwanda 10.     Bangladesh 58.     Indonesia 106. Saint Lucia 11.     Belarus 59.     Iran 107. Saudi Arabia 12.     Belgium 60.     Iraq 108. Senegal 13.     Belize 61.     Ireland 109. Serbia 14.     Bhutan 62.     Israel 110. Sierra Leone 15.     Bolivia 63.     Italy 111. Singapore 16.     Bosnia and Herzegovina 64.     Jamaica 112. Slovakia 17.     Brazil 65.     Japan 113. South Africa 18.     British Virgin Islands 66.     Jordan 114. South Korea 19.     Bulgaria 67.     Kazakhstan 115. Spain 20.     Burkina Faso 68.     Kenya 116. Sri Lanka 21.     Burundi 69.     Kuwait 117. Sudan 22.     Cameroon 70.     Kyrgyzstan 118. Sweden 23.     Canada 71.     Latvia 119. Switzerland 24.     Chile 72.     Lebanon 120. Syria 25.     China 73.     Liberia 121. Taiwan 26.     Colombia 74.     Lithuania 122. Tanzania 27.     Congo (Brazzaville) 75.     Madagascar 123. Thailand 28.     Congo (Kinshasa) 76.     Malawi 124. The Former Yugoslav Republic of Macedonia 29.     Costa Rica 77.     Malaysia 125. The Gambia 30.     Cote DIvoire 78.     Mali 126. Timor-Leste 31.     Croatia 79.     Mauritania 127. Togo 32.     Cuba 80.     Mexico 128. Trinidad and Tobago 33.     Cyprus 81.     Moldova 129. Tunisia 34.     Czech Republic 82.     Mongolia 130. Turkey 35.     Denmark 83.     Morocco 131. Uganda 36.     Dominican Republic 84.     Mozambique 132. Ukraine 37.     Ecuador 85.     Myanmar 133. United Arab Emirates 38.     Egypt 86.     Namibia 134. United Kingdom 39.     El Salvador 87.     Nepal 135. United States 40.     Eritrea 88.     Netherlands 136. Uruguay 41.     Estonia 89.     New Zealand 137. Uzbekistan 42.     Ethiopia 90.     Nicaragua 138. Venezuela 43.     Finland 91.     Niger 139. Vietnam 44.     France 92.     Nigeria 140. Yemen 45.     Gabon 93.     Norway 141. Zambia 46.     Georgia 94.     Pakistan 142. Zimbabwe 47.     Germany 95.     Palestine 48.     Ghana 96.     Panama And as  always, it is going to take us some time to review all of the applications, so please be patient with us. Admissions decisions will  be  released in  mid-March and rolling thereafter.Alright! Those are all of the insights I have for today. I hope you found this information interesting.  While I cant share any additional details about our application pool at this time, you are welcome to email us at sipa_admission@columbia.edu if you have any questions about the status of your individual application  or the  application requirements. Until next time. [Photo courtesy of  http://imightneedanap.com] *updated list includes self-reported citizenship and mailing and permanent addresses.

Sunday, May 24, 2020

What Are Contractions in English Grammar

A contraction is a word or phrase that has been shortened by dropping one or more letters. In writing, an apostrophe is used to indicate the place of the missing letters.  Contractions are commonly used in  speech  (or written dialogue),  informal forms of writing, and where space is at a premium, such as in advertising. In very formal writing, such as academic papers, grant proposals, or other works that need to appear professional, you may not want to use contractions at all. Why Do We Use Contractions? We rely on contractions all the time in normal conversation. When people speak to each other, there is typically an expectation that they will use contractions (cant, wont, shouldnt) whenever they can, as doing so saves time. Some people are under the impression that contractions should never appear in writing, but this belief is mistaken. The use of contractions is directly related to tone. In informal writing (from text messages and blogs to memos and personal essays), we often rely on contractions to maintain a colloquial tone.  In more formal writing assignments (such as academic reports or term papers), avoiding contractions is a way of establishing a more serious tone. Before deciding whether to use contractions in a writing assignment, consider your audience and your purpose for writing. The Contractive  Apostrophe In telescoped words and phrases (e.g.,  doesnt, theres, souwester), an apostrophe marks the spot where one or more letters have been omitted. It is not necessarily where the words have been joined together. This apostrophe is also known as the contractive apostrophe. Some people, including the Irish playwright George Bernard Shaw, have been in favor of eliminating apostrophes entirely. Shaw called them uncouth bacilli, though its unlikely that Shaws analogy to bacteria will help the apostrophe go away anytime soon. Contracted Nouns and Pronouns In casual conversation, contractions involving  nouns  are fairly common (My  dadll  be home soon). In writing, however,  theyre  much rarer than contractions with  pronouns such as Ill, hed, and shes. You can contract proper nouns to mean is or has, such as in the sentence Shellys coming with us, or Jeffs bought a new computer. Watch out for the homonyms whos and whose; the contraction is who is or who has, and the whole word is possessive, as in Whose car is that?  And of course, if youre visiting the South, youll likely hear the colloquial yall for you all. Negative Contractions and Verb Contractions Contractions are often made with auxiliary, or helping, verbs, such as to be, do, have, and can. We can say it isnt raining or its not raining. But we cannot say itsnt raining. In negative clauses, we have a choice between using negative contractions like not  (nt) and contracting the pronoun and verb (its). But we cant do both. Contracting Not The contracted form of not (nt) can be attached to  finite forms  of the  helping verbs  be, do, and  have. However, amnt (mainly Scottish and Irish) is extremely rare, unlike the disparaged aint. The nt form can also be attached to most of the modal auxiliaries  such as  cant, couldnt, mustnt, shouldnt, wont, and wouldnt. Yet, you wont hear many Americans saying maynt or shant;  even those contractions are too formal. Contractions in  Tag Questions A tag question is a short question added to the end of a  declarative sentence, usually to make sure that something has been done or understood. For example, Its a tag question,  isnt it? Because of their  colloquial  nature, negative tags are commonly contracted:  didnt we? havent you? arent they?  This is much less formal than did not we? or did we not? Ambiguous Contractions Most contractions ending in  d  and  s  are ambiguous. The  d  can  represent either  had  or  would;  s  can represent either  has  or  is. All the same, the meaning of these contractions is usually clear from their  context. For instance, Sams  finished his term paper implies completion in the past  (Sam has finished), while  Sams  tired is in the present tense, meaning  Sam is. Multiple Contractions They may look odd in print, but certain multiple contractions such as  Idve  (or  Ida) and  wouldntve  are fairly common in speech. We like shortcuts, so its easy to say something like, If  Idve  told you the real reason, you probably  wouldntve  come back with me. Quite often, we dont even notice it.  The words just run together as we talk. Under the category of rarities, there are a few double and even triple contracted nautical terms. These include words like  bosn  (short for  boatswain) and  focsle  (a variant of  forecastle), words that landlubbers can probably live without. Before you start recklessly sprinkling apostrophes everywhere, make sure youre not putting an apostrophe plus s on something that should actually be plural: i.e., the  greengrocers apostrophe. Aphaeresis, Syncope, and Apocope Another common type of linguistic shortening (or  elision) is the omission of certain sounds or letters from an individual word. In phonetics, elision at the beginning of a word (for instance, gator from alligator) is called aphaeresis. In the middle of a word (maam from madam), it is a syncope. When it appears at the end of a word (ad from advertisement), we call it an apocope. Aphaeresis and apocope can occur together, as in  flu—a  clipped  form of  influenza. Standard Contractions in English In the following table, youll find a list of more than  70 contractions in English. aren't are not can't cannot couldn't could not could've could have didn't did not doesn't does not don't do not e'er ever hadn't had not hasn't has not haven't have not he'd he had; he would he'll he will; he shall he's he is; he has I'd I had; I would I'll I will; I shall I'm I am I've I have isn't is not it'd it would it'll it shall; it will it's it is; it has let's let us ma'am madam mightn't might not might've might have mustn't must not must've must have 'n' and needn't need not ne'er never o'er over ol' old oughtn't ought not shan't shall not she'd she had; she would she'll she will; she shall she's she is; she has shouldn't should not should've should have that'd that would that's that is; that has there'd there had; there would there'll there shall; there will there's there has; there is they'd they had; they would they'll they will; they shall they're they are they've they have 'twas it was wasn't was not we'd we had; we would we'll we will we're we are we've we have weren't were not what'll what will; what shall what're what are what's what is; what has; what does what've what have where'd where did where's where is; where has who'd who had; who would who'll who will; who shall who's who is; who has who've who have why'd why did won't will not wouldn't would not would've would have you'd you had; you would you'll you will; you shall you're you are you've you have

Thursday, May 14, 2020

Solutions for Challenging Counting Problems

Counting can seem like an easy task to perform. As we go deeper into the area of mathematics known as combinatorics, we realize that we come across some large numbers. Since the factorial shows up so often, and a number such as 10! is greater than three million, counting problems can get complicated very quickly if we attempt to list out all of the possibilities. Sometimes when we consider all of the possibilities that our counting problems can take on, its easier to think through the underlying principles of the problem. This strategy can take much less time than trying brute force to list out a number of combinations or permutations. The question How many ways can something be done? is a different question entirely from What are the ways that something can be done? We will see this idea at work in the following set of challenging counting problems. The following set of questions involves the word TRIANGLE. Note that there are a total of eight letters. Let it be understood that the vowels of the word TRIANGLE are AEI, and the consonants of the word TRIANGLE are LGNRT. For a real challenge, before reading further check out a version of these problems without solutions. The Problems How many ways can the letters of the word TRIANGLE be arranged?Solution: Here there are a total of eight choices for the first letter, seven for the second, six for the third, and so on. By the multiplication principle we multiply for a total of 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 8! 40,320 different ways.How many ways can the letters of the word TRIANGLE be arranged if the first three letters must be RAN (in that exact order)?Solution: The first three letters have been chosen for us, leaving us five letters. After RAN we have five choices for the next letter followed by four, then three, then two then one. By the multiplication principle, there are 5 x 4 x 3 x 2 x 1 5! 120 ways to arrange the letters in a specified way.How many ways can the letters of the word TRIANGLE be arranged if the first three letters must be RAN (in any order)?Solution: Look at this as two independent tasks: the first arranging the letters RAN, and the second arranging the other five letters. There are 3! 6 wa ys to arrange RAN and 5! Ways to arrange the other five letters. So there are a total of 3! x 5! 720 ways to arrange the letters of TRIANGLE as specified.How many ways can the letters of the word TRIANGLE be arranged if the first three letters must be RAN (in any order) and the last letter must be a vowel?Solution: Look at this as three tasks: the first arranging the letters RAN, the second choosing one vowel out of I and E, and the third arranging the other four letters. There are 3! 6 ways to arrange RAN, 2 ways to choose a vowel from the remaining letters and 4! Ways to arrange the other four letters. So there are a total of 3! X 2 x 4! 288 ways to arrange the letters of TRIANGLE as specified.How many ways can the letters of the word TRIANGLE be arranged if the first three letters must be RAN (in any order) and the next three letters must be TRI (in any order)?Solution: Again we have three tasks: the first arranging the letters RAN, the second arranging the letters TRI, and th e third arranging the other two letters. There are 3! 6 ways to arrange RAN, 3! ways to arrange TRI and two ways to arrange the other letters. So there are a total of 3! x 3! X 2 72 ways to arrange the letters of TRIANGLE as indicated.How many different ways can the letters of the word TRIANGLE be arranged if the order and the placement of the vowels IAE cannot be changed?Solution: The three vowels must be kept in the same order. Now there are a total of five consonants to arrange. This can be done in 5! 120 ways.How many different ways can the letters of the word TRIANGLE be arranged if the order of the vowels IAE cannot be changed, though their placement may (IAETRNGL and TRIANGEL are acceptable but EIATRNGL and TRIENGLA are not)?Solution: This is best thought of in two steps. Step one is to choose the places that the vowels go. Here we are picking three places out of eight, and the order that we do this is not important. This is a combination and there are a total of C(8,3) 5 6 ways to perform this step. The remaining five letters may be arranged in 5! 120 ways. This gives a total of 56 x 120 6720 arrangements.How many different ways can the letters of the word TRIANGLE be arranged if the order of the vowels IAE can be changed, though their placement may not?Solution: This is really the same thing as #4 above, but with different letters. We arrange three letters in 3! 6 ways and the other five letters in 5! 120 ways. The total number of ways for this arrangement is 6 x 120 720.How many different ways can six letters of the word TRIANGLE be arranged?Solution: Since we are talking about an arrangement, this is a permutation and there are a total of P( 8, 6) 8!/2! 20,160 ways.How many different ways can six letters of the word TRIANGLE be arranged if there must be an equal number of vowels and consonants?Solution: There is only one way to select the vowels we are going to place. Choosing the consonants can be done in C(5, 3) 10 ways. There are then 6! ways to arrange the six letters. Multiply these numbers together for the result of 7200.How many different ways can six letters of the word TRIANGLE be arranged if there must be at least one consonant?Solution: Every arrangement of six letters satisfies the conditions, so there are P(8, 6) 20,160 ways.How many different ways can six letters of the word TRIANGLE be arranged if the vowels must alternate with consonants?Solution: There are two possibilities, the first letter is a vowel or the first letter is a consonant. If the first letter is a vowel we have three choices, followed by five for a consonant, two for a second vowel, four for a second consonant, one for the last vowel and three for the last consonant. We multiply this to obtain 3 x 5 x 2 x 4 x 1 x 3 360. By symmetry arguments, there are the same number of arrangements that start with a consonant. This gives a total of 720 arrangements.How many different sets of four letters can be formed from the word TRIANGLE?Soluti on: Since we are talking about a set of four letters from a total of eight, the order is not important. We need to calculate the combination C(8, 4) 70.How many different sets of four letters can be formed from the word TRIANGLE that has two vowels and two consonants?Solution: Here we are forming our set in two steps. There are C(3, 2) 3 ways to choose two vowels from a total of 3. There are C(5, 2) 10 ways to choose to consonants from the five available. This gives a total of 3x10 30 sets possible.How many different sets of four letters can be formed from the word TRIANGLE if we want at least one vowel?Solution: This can be calculated as follows: The number of sets of four with one vowel is C(3, 1) x C( 5, 3) 30.The number of sets of four with two vowels is C(3, 2) x C( 5, 2) 30.The number of sets of four with three vowels is C(3, 3) x C( 5, 1) 5. This gives a total of 65 different sets. Alternately we could calculate that there are 70 ways to form a set of any four letters, and subtract the C(5, 4) 5 ways of obtaining a set with no vowels.

Wednesday, May 6, 2020

One More Show Essay - 792 Words

One More Show By age of seven I was sick of school and I wanted out by whatever means. I went Dorsa elementary school, a local school in East Side San Jose. Coming from a Latino background, I was at a disadvantage because English was not my first language. So fix this the principle Mrs. Rodriguez decided to have an after school program with the parents permission of course. This program was meant to keep non native-english speakers for an one to two hours after school. Being in class was hard enough because I didn’t understand what the teachers were saying, or cared about what we learning. I used to sit in the back small classroom, staring at the white board or wall, dazed into space. Sometimes I used to doodle on my class†¦show more content†¦After getting home I usually took a quick nap then enjoy the day watching cartoons. This cartoons where shows like Clifford, whats New Scooby Doo, Ed Edd n Eddy, Codename Kids Next Door, Johnny Bravo, Static Shock, Justice League Samurai Jack, Top Cat, Robot Boy etc. While watching the cartoons I used mimic what t he characters were saying. Some examples when I watch Ed Edd n Eddy I used say phrases like â€Å"dork,† â€Å"sockhead,† â€Å"Son of a Shepherd† †¦. Ironically this how I learned how to speak, write, and read English, as well as draw. Sometimes for the fun of it I used to draw cartoon characters because I like how they look. I sat down grabbed a random paper, crayons and draw what I remembered about a character. This where my passion for drawing came from. Unfortunately, not everyone agrees with my method since they found it was considered ditching. I been sent multiple times to Mrs. Rodriquez office and she always ask me â€Å"Why do I ditch† or â€Å"How do it†. I replied I just climb the fence and because is boring. 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