In how many ways can 5 boys and 5 girls be se | vedclass

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

Question

(B) First,arrange the $5$ boys around a circular table. The number of ways to arrange $n$ distinct objects in a circle is $(n-1)!$. So,$5$ boys can be

Vedclass · Accepted Answer

$5! 	imes 4!$

Vedclass · Answer

(B) First,arrange the $5$ boys around a circular table. The number of ways to arrange $n$ distinct objects in a circle is $(n-1)!$. So,$5$ boys can be seated in $(5-1)! = 4!$ ways.After seating the boys,there are $5$ gaps created between them.To ensure no two girls sit together,we must place the $5$ girls in these $5$ gaps. The number of ways to arrange $5$ girls in $5$ gaps is $5!$ ways.Therefore,the total number of ways is $4! 	imes 5!$.

In how many ways can $5$ boys and $5$ girls be seated around a circular table such that no two girls are together?

Similar Questions

The number of ways in which $6$ men and $5$ women can sit at a round table,if no two women sit together,is:

If $5$ red roses and $5$ white roses of different sizes are used in preparing a garland,the probability that red and white roses come alternately is

The number of ways in which $5$ boys and $3$ girls can be seated on a round table,if a particular boy $B_1$ and a particular girl $G_1$ never sit adjacent to each other,is

The number of ways in which $6$ boys and $4$ girls can be seated around a round table such that $2$ special boys and a special girl never sit together is

In how many ways can $5$ keys be arranged in a ring?

Vedclass Test Series

Exam Paper Generator

Online Exam Module