Permutations And Combinations Question 5

Question: In how many ways can 15 members of a council sit along a circular table, when the Secretary is to sit on one side of the Chairman and the Deputy Secretary on the other side

Options:

A) $ 2\times 12! $

B) 24

C) $ 2\times 15! $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Since total members are 15, but one is to left, because of circular condition, therefore remaining members are 14 but three special member constitute a member. Therefore required number of arrangements are $ 12\ !\ \times 2 $ , because, chairman remains between the two specified persons and the person can sit in two ways.