In how many ways can 12 gentlemen sit around | vedclass

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(D) To solve this,we treat the $3$ specified gentlemen as a single unit.Now,we have $(12 - 3 + 1) = 10$ units to arrange around a circular table.The n

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$3! 	imes 9!$

Vedclass · Answer

(D) To solve this,we treat the $3$ specified gentlemen as a single unit.Now,we have $(12 - 3 + 1) = 10$ units to arrange around a circular table.The number of ways to arrange $10$ units in a circle is $(10 - 1)! = 9!$.Within the single unit,the $3$ specified gentlemen can be arranged among themselves in $3!$ ways.Therefore,the total number of ways is $3! 	imes 9!$.

In how many ways can $12$ gentlemen sit around a round table so that three specified gentlemen are always together?

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