A round table conference is to be held amongs | vedclass

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(A) To arrange $20$ delegates around a round table such that $2$ particular delegates sit together,we treat the $2$ delegates as a single unit.Now,we

Vedclass · Accepted Answer

$2 	imes 18!$

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(A) To arrange $20$ delegates around a round table such that $2$ particular delegates sit together,we treat the $2$ delegates as a single unit.Now,we have $18$ other delegates plus $1$ unit (the pair),making a total of $19$ units.The number of ways to arrange $19$ units in a circle is $(19 - 1)! = 18!$.The $2$ delegates within their unit can be arranged in $2!$ ways.Therefore,the total number of arrangements is $2! 	imes 18! = 2 	imes 18!$.

$A$ round table conference is to be held amongst $20$ countries. If two particular delegates wish to sit together,then in how many ways can such arrangements be done?

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