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  4. 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

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Q. 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

Permutations and Combinations

Solution:

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