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Question

Question: If eleven members of a committee sit at a round table so that the President and Secretary always sit...

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

106mu!6mu×210\mspace{6mu}!\mspace{6mu} \times 2

B

10!10!

C

9!6mu×29!\mspace{6mu} \times 2

D

None of these

Answer

9!6mu×29!\mspace{6mu} \times 2

Explanation

Solution

Required number of ways 96mu!6mu×29\mspace{6mu}!\mspace{6mu} \times 2.

{By fundamental property of circular permutation}.