Home
Class 11
MATHS
In how many ways can 5 boys and 3 girls ...

In how many ways can 5 boys and 3 girls be seated in a row so that each girl is between 2 boys?

Text Solution

Verified by Experts

The correct Answer is:
2880
Let us fix 5 boys, keeping a space between every 2 boys, as shown below:
`B square B square B square B square B.`
Required number of ways `=""^(4)P_(3)=(4xx3xx2)=24.`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RS AGGARWAL|Exercise EXERCISE 8G|6 Videos

  • PARABOLA

    RS AGGARWAL|Exercise EXERCISE-22|10 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    RS AGGARWAL|Exercise EXERCISE 4|23 Videos

Similar Questions

Explore conceptually related problems

In how many ways can 5 boys and 5 girls sit in a ring

In how many ways can 7 boys and 2 girls be seated in a row so that two giirls are together ?

In how many ways 5 boys and 3 girls be seated in a row so that no tow girls are together?

In how many wys can 4 boys and 3 girls be seated ina row so tht no two girls are together?

In how many ways can 5 boys and 3 girls sit in a row so that no two girls are together ?

In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate?

In how many ways 4 boys and 4 girls can be seated in a row so that boys and girls are alternate?

In how many ways can 5 boys and 5 girls be seated at a round table so that no two girls may be together ?

In how many ways can 3 boys and 3 girls can be selected from 5 boys and 3 girls?

In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand together and all the girls stand together ?