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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 circular table for eight will sit two children tagged by: M7MBA ##### This topic has 1 member reply ## At a circular table for eight will sit two children At a circular table for eight will sit two children, their two parents, and the two parents of each of the children's parents, eight people in total. The children will sit together, the children's two parents will sit next to the children, one on either side of the two children, and the parents of each of the children's parents will sit next to each other beside the person who is their child. Given the restrictions, in how many ways can the people be arranged around the table. (A) 8 (B) 16 (C) 64 (D) 96 (E) 1440 The OA is the option B. Experts, how can I solve this question? Is there an easy way? Can you help me? Thanks in advanced. Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 320 messages Upvotes: 27 Top Reply M7MBA wrote: At a circular table for eight will sit two children, their two parents, and the two parents of each of the children's parents, eight people in total. The children will sit together, the children's two parents will sit next to the children, one on either side of the two children, and the parents of each of the children's parents will sit next to each other beside the person who is their child. Given the restrictions, in how many ways can the people be arranged around the table. (A) 8 (B) 16 (C) 64 (D) 96 (E) 1440 The OA is the option B. Experts, how can I solve this question? Is there an easy way? Can you help me? Thanks in advanced. Pick the abbreviations of your choice to represent each person and write down according to question, so: C1 and C2 children P1 and P2 parents G11, G12 parents of P1 G21 and G22 parents of P2 So, one ordering is as follows: G11 G12 P1 C1 C2 P2 G21 G22 Now, from the wording the GGPs are a package deal, wherever P moves to so do the G's. Start with the two children, they can be arranged two ways: C1 C2 or C2 C1 so 2 ways Within each GGP package the grandparents can be arranged two ways so 2 ways for each package means 2 x 2 = 4 ways Finally the GGP packages can be swapped to either side, so 2 ways Totalling: 2x4x2 = 16, B • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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