The number of ways in which 5 boys and 4 girl | vedclass

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

Question

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

Vedclass · Accepted Answer

$5! 	imes 4!$

Vedclass · Answer

(A) First,arrange the $5$ boys around a circular table. The number of ways to arrange $n$ objects in a circle is $(n-1)!$. So,the number of ways to arrange $5$ boys is $(5-1)! = 4!$. There are $5$ spaces created between the $5$ boys where the $4$ girls can sit to ensure no two girls sit together. The number of ways to arrange $4$ girls in these $5$ spaces is given by $P(5, 4) = \frac{5!}{(5-4)!} = \frac{5!}{1!} = 5!$. Therefore,the total number of ways is $4! 	imes 5!$.

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:

Similar Questions

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?

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

$A$ couple can sit with $6$ guests around a circular table. In how many ways can they sit if the couple sits in consecutive seats?

$A$ family consisting of a mother,father,and their $8$ children ($4$ boys and $4$ girls) are to be seated at a round table in a party. How many ways can this be done if the mother and father sit together and the males and females alternate?

In how many ways can $7$ women and $7$ men be seated around a circular table such that each woman is seated next to a man?

Vedclass Test Series

Exam Paper Generator

Online Exam Module