In how many ways can 5 boys and 5 girls sit i | vedclass

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

Question

(B) To arrange $5$ boys and $5$ girls in a circle such that no two boys sit together,we first arrange the $5$ girls in a circle.The number of ways to

Vedclass · Accepted Answer

$4! 	imes 5!$

Vedclass · Answer

(B) To arrange $5$ boys and $5$ girls in a circle such that no two boys sit together,we first arrange the $5$ girls in a circle.The number of ways to arrange $n$ items in a circle is $(n-1)!$. Thus,$5$ girls can be arranged in $(5-1)! = 4!$ ways.After arranging the girls,there are $5$ gaps created between them. To ensure no two boys sit together,we must place the $5$ boys in these $5$ gaps.The number of ways to arrange $5$ boys in $5$ gaps is $5!$.Therefore,the total number of ways is $4! 	imes 5!$.

In how many ways can $5$ boys and $5$ girls sit in a circle so that no two boys sit together?

Similar Questions

$^{n - 1}C_r = (k^2 - 3) \cdot ^nC_{r + 1}$ if $k \in$

How many different necklaces can be formed with $6$ white and $5$ red beads?

In how many ways can a committee be formed of $5$ members from $6$ men and $4$ women if the committee has at least one woman?

The number of ways in which $5$ beads of different colours form a necklace is

$^nC_r \div ^nC_{r-1} = $

Vedclass Test Series

Exam Paper Generator

Online Exam Module