In how many ways can 6 men and 5 women be sea | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) First,arrange the $6$ men around a circular table. The number of ways to arrange $n$ objects in a circle is $(n-1)!$. So,$6$ men can be seated in

Vedclass · Accepted Answer

$5! 	imes P(6, 5)$

Vedclass · Answer

(C) First,arrange the $6$ men around a circular table. The number of ways to arrange $n$ objects in a circle is $(n-1)!$. So,$6$ men can be seated in $(6-1)! = 5!$ ways.This arrangement creates $6$ gaps between the men where the $5$ women can be seated.To ensure no two women sit together,we choose $5$ gaps out of $6$ and arrange the $5$ women in them. This can be done in $P(6, 5)$ ways.Total number of ways $= 5! 	imes P(6, 5) = 120 	imes 720 = 86400$.

In how many ways can $6$ men and $5$ women be seated around a circular table if no two women are to be seated together?

Similar Questions

The number of ways in which $8$ different pearls can be arranged to form a necklace is

The number of ways in which $5$ boys and $4$ girls can sit around a circular table such that no two girls sit together is:

The number of ways of arranging all the letters of the word "$COMBINATIONS$" around a circle so that no two vowels come together is

If $3$ sisters and $8$ other girls are together playing a game,then the number of ways in which all the girls are seated around a circle such that the three sisters are not seated together,is

In how many ways can $4$ beads be selected and arranged in a necklace from $6$ distinct beads?

Vedclass Test Series

Exam Paper Generator

Online Exam Module