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Permutation and Combination - Quant/Math - CAT 2013

  1. Algebra
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  15. Permutation & Combination
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Question 4 the day: August 20, 2003

The question for the day is from the topic of Permutation and Combination.
In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

(1) 15!/(8!) (2) 7!*8!
(3) (15C8)*6!*7! (4) 2*(15C7)*6!*7!
Correct Answer - (3)

Solution:


You can choose the 7 people to sit in the first table in 15C7 ways. After selecting 7 people for the table that can seat 7 people, they can be seated in (7-1)! = 6!.

The remaining 8 people can be made to sit around the circular table in (8-1)! = 7! Ways.

Hence, total number of ways 15C8 * 6! * 7!




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