If 11 members of a committee sit at a round t | vedclass

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(C) To arrange $11$ members at a round table such that the President and Secretary always sit together,we treat the President and Secretary as a singl

Vedclass · Accepted Answer

$9! 	imes 2$

Vedclass · Answer

(C) To arrange $11$ members at a round table such that the President and Secretary always sit together,we treat the President and Secretary as a single unit.Now,we have $(11 - 2 + 1) = 10$ units to arrange in a circle.The number of ways to arrange $n$ items in a circle is $(n - 1)!$.Thus,the $10$ units can be arranged in $(10 - 1)! = 9!$ ways.Within the single unit,the President and Secretary can interchange their positions in $2! = 2$ ways.Therefore,the total number of arrangements is $9! 	imes 2$.

If $11$ 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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