A tea party is arranged for 16 people at a lo | vedclass

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(B) There are $16$ seats in total,$8$ on each side.$4$ specific people must sit on one side,which has $8$ seats. The number of ways to arrange them is

Vedclass · Accepted Answer

$^8P_4 	imes ^8P_2 	imes 10!$

Vedclass · Answer

(B) There are $16$ seats in total,$8$ on each side.$4$ specific people must sit on one side,which has $8$ seats. The number of ways to arrange them is $^8P_4$.$2$ specific people must sit on the other side,which has $8$ seats. The number of ways to arrange them is $^8P_2$.There are $16 - 4 - 2 = 10$ remaining people to be seated in the remaining $16 - 4 - 2 = 10$ seats.The number of ways to arrange the remaining $10$ people is $10!$.Therefore,the total number of ways is $^8P_4 	imes ^8P_2 	imes 10!$.

$A$ tea party is arranged for $16$ people at a long table with $8$ chairs on each side. $4$ specific people wish to sit on one particular side and $2$ on the other side. In how many ways can they be seated?

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