In how many different ways can five boys and five girls form a circle such that the boys and girls alternate?

Five girls and five boys are to be seated on a bench with the boys and girls alternating. Find the number of ways of their seating. In how many different ways could they sit around a circular table so that the boys and girls alternate ?

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 ?

In how many different ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

In how many different ways cann a committee of 5 boys and 3 girls can be formed out of 15 boys and 10 girls ?

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

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