I had the exact same question.

My wife's contributions are not acknowledged in our group's paper that has me as coauthor. In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people, if. Should I use constitute or constitutes here? Now we need 5 more persons = 8c5 Thank you.

The reasoning you used in parts (a) and (b) is correct. In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people, if This problem comes after chapter 5.1, which is an introduction to the basic principles of counting: product rule, sum rule, and inclusion-exclusion principle. How do you win a simulated dogfight/Air-to-Air engagement? Note: Please do not post the mathematical notation for binomial coefficient or "n choose m" or anything related to that. In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are among these 10 people, if the bride must be in the picture? rev 2020.11.5.37957, The best answers are voted up and rise to the top, Mathematics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us. The objective is to determine the number of ways can a photographer arrange six people in a row, including the bride and groom at a wedding. However, the answers to this question suggest that it is asking for permutations and not just combinations. A type of compartment that rises out of a desk, Telling my supervisor about my medical condition, In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the groom are (a) The arrangement of 6 people with bride must be next to the groom. In how many ways can four students be chosen from a group of 12 students? © 2003-2020 Chegg Inc. All rights reserved. Counterpart to Confidante: Word for Someone Crying out for Help. The chapter never deals with permutations or combinations (these terms are not even defined yet). I am very confused by the wording of this question from Kenneth Rosen's Discrete Mathematics 6th Edition. among these 10 people, if.

How to calculate the number of permutations and combinations if k is equal to n? What kind of ships would an amphibious species build? Who is the "young student" André Weil is referring to in his letter from the prison? Why can't modern fighter aircraft shoot down second world war bombers? =80640. Since you are choosing from the bride or the groom, the answer is, One person from bride and groom can be selected by 2c1 way. Why does the wording of how many ways can a photographer 6 people from a group of 10 ask for permutations and not combinations?

Kenneth Rosen's Discrete Mathematics 6th Edition, Creating new Help Center documents for Review queues: Project overview. By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy.

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Asking for help, clarification, or responding to other answers. The bride and the groom are the priority so they should be the most prominent. For part (c), one way to count the permutations is. It only takes a minute to sign up. However, this is just combinations, and not permutations to my understanding, because there are 6 ways to arrange either the bride or groom for each such combination. In how many ways can these people be arranged for a photograph? b) both the bride and groom must be in the picture? Use MathJax to format equations. By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. Is there a name for paths that follow gridlines? The chapter where that is introduced comes much later. I am looking back in my work and this is how I did it. However, part c) is incredibly confusing because the answers I have found seem to just use combinations, and not permutations. If we were considering permutations, would it not need to be $[6 * 40320] + [6 * 40320] = 483,840$ permutations? there is no restriction about their position so can be arranged 6! Therefore I would not have access to that knowledge directly. Oh I see now. The same reasoning is used to solve b) (permutations again), which comes to $1 \times 1 \times 8 \times 7 \times 6 \times 5 = 1,680$ combinations times $6 * 5$ ways to permute each combination, so the answer is $30 * 1680 = 50,400$. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. a row from a group of 10 people where the bride and groom are part of the group of 10 such that (a) at least one of them (the bride and the groom) must be in the pic? Course Hero is not sponsored or endorsed by any college or university. To learn more, see our tips on writing great answers. How easy is it to recognize that a creature is under the Dominate Monster spell? Bride and groom take two places each of 1 way. Two people to the …

Answer = 2c1 * 8c5 * 6! Making statements based on opinion; back them up with references or personal experience. Thus, there are $80640=(2\cdot6)\cdot8\cdot7\cdot6\cdot5\cdot4$ permutations in this case. How many ways can a photographer at a wedding arrange 6 people in. As you noted, "arrange ... in a row" indicates that order does matter, i.e., we are counting permutations. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. This sort of makes sense.

But the number of permutations is actually $6 \times 15120 = 90720$, since for each combination the bride has 6 possible positions. c) exactly one of the bride and the groom is in the picture? 366,926 students got unstuck by Course Hero in the last week, Our Expert Tutors provide step by step solutions to help you excel in your courses. Terraforming Mars using a combination of aerogel and GM microbes? What wording of the question says I am looking for permutations and not combinations? Different ways of arranging a group of 10 people. In how many ways can 4 people occupy 10 chairs in a row if no two sit on adjacent chairs. In how many ways may 8 people form a circle for a folk dance? Variations: in how many ways can people be arranged, What is the main difference between a decoder and a demultiplexer. Discrete Mathematics and Its Applications | 6th Edition, Discrete Mathematics and Its Applications, 9780072880083, 9780073107790, 9780073312712. $8\cdot7\cdot6\cdot5\cdot4=6720$ ways to choose and arrange the other five people. $2$ ways to choose exactly one of the bride and groom. A photographer can arrange 6 people in a row from a group of 10 people in many ways. How can election winners of states be confirmed, although the remaining uncounted votes are more than the difference in votes? For example, to solve part a), I calculated all the (unique) combinations of 6 people from a group of 10 where 1 is always the bride. MathJax reference. Should I speak up for her? The placement of this problem in the book doesn't make complete sense. To subscribe to this RSS feed, copy and paste this URL into your RSS reader.

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