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

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(C) To arrange $11$ members in a circle such that the President and Secretary always sit together,we treat the President and Secretary as a single uni

Vedclass · Accepted Answer

$9! 	imes 2$

Vedclass · Answer

(C) To arrange $11$ members in a circle such that the President and Secretary always sit together,we treat the President and Secretary as a single unit.Now,we have $9$ other members plus the $1$ unit of (President + Secretary),making a total of $10$ entities to be arranged in a circle.The number of ways to arrange $n$ items in a circle is $(n-1)!$.So,the number of ways to arrange these $10$ entities is $(10-1)! = 9!$.Within the unit,the President and Secretary can be arranged 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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