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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## At a dinner party, 5 people are to be seated around a... tagged by: swerve ##### This topic has 1 expert reply and 1 member reply ### Top Member ## At a dinner party, 5 people are to be seated around a... At a dinners party, 5 people are seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group? A. 5 B. 10 C. 24 D. 32 E. 120 The OA is C. Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks. Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 320 messages Upvotes: 27 swerve wrote: At a dinners party, 5 people are seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group? A. 5 B. 10 C. 24 D. 32 E. 120 The OA is C. Please, can any expert explain this PS question for me? I tried to solve it but I can't get the correct answer. I need your help. Thanks. You can start by calculating the number of permutations of 5 people. For example, pick a chair to begin with. There are 5 ways to fill that chair. Continue clockwise with the remaining people, so : 5x4x3x2x1 = 120 arrangements However, visualize that contributing to the total number of arrangements are arrangements where the same relative positioning of the five people is maintained but that each person is shifted one chair clockwise. Since question asks for those arrangements where only the relative positions are different, you need to divide 120 by 5 = 24,C ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1776 messages Followed by: 14 members Upvotes: 43 swerve wrote: At a dinners party, 5 people are seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group? A. 5 B. 10 C. 24 D. 32 E. 120 When determining the number way to arrange a group around a circle, we subtract 1 from the total and set it to a factorial. Thus, the total number of possible sitting arrangements for 5 people around a circular table is 4! = 24. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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