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Question

Mathematics Question on permutations and combinations

If eleven members of a committee sit at a round table so that the President and Secretary always sit together, then the number of arrangements is

A

10!×2 10! \times 2

B

10!10!

C

9!×2 9! \times 2

D

11!×2 11 ! \times 2

Answer

9!×2 9! \times 2

Explanation

Solution

Since, out of eleven members, two members sit together, then the number of arrangements =9!×2= 9! \times 2 (\because two members can sit in two ways.)