In how many ways can 6 boys form a ring ?

In how many ways can 6 boys and 6 girls sit in a round table so that no two boys sit together

In how many ways can 6 boys and 5 girls can be seated at a round table if no two girls are together?

In how many ways can 6 boys and 4 girls be arranged in a straight line so that no two girls are ever together ?

In how many ways can 6 boys and 5 girls be arranged for a group photograph if the girls are to sit on chairs in a row and the boys are to stand in a row behind them?

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

In how many ways can 6boys be seated at a round table so that two particular boys are next to each other is

In how many ways can we arrange 6 different flowers in a circle ? In how many ways we can form a garland using these flowers ?