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
B
10!
C
9!×2
D
11!×2
Answer
9!×2
Explanation
Solution
Since, out of eleven members, two members sit together, then the number of arrangements =9!×2 (∵ two members can sit in two ways.)