The Chief Ministers of 11 States of India mee | vedclass

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Question

(A) To solve this,treat the Punjab and Madras Chief Ministers as a single unit.Now,we have this unit plus the remaining $9$ Chief Ministers,making a t

Vedclass · Accepted Answer

$725760$

Vedclass · Answer

(A) To solve this,treat the Punjab and Madras Chief Ministers as a single unit.Now,we have this unit plus the remaining $9$ Chief Ministers,making a total of $10$ entities to be arranged around a circular table.The number of ways to arrange $n$ distinct objects in a circle is $(n-1)!$.Therefore,$10$ entities can be arranged in $(10-1)! = 9!$ ways.Within the single unit,the Punjab and Madras Chief Ministers can interchange their positions in $2!$ ways.Thus,the total number of ways is $9! 	imes 2!$.Calculating the value: $9! = 362880$.Total ways = $362880 	imes 2 = 725760$.

The Chief Ministers of $11$ States of India meet to discuss the language problem. In how many ways can they seat themselves at a round table so that the Punjab and Madras Chief Ministers sit together?

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