In how many ways can 3 ladies and 3 gentlemen be seated around a round table so that any two and only two of the ladies sit together?

In how many ways can 10 boys and 5 girls be seated in a round table so that two girls never be seated together ?

In how many ways can 6 boys and 4 girls be seated in a round table so that two girls never be seated together.

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

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

In how many ways can 6 men be seated at a round table ?

In how many ways can 5 first year students and 3 second year students be seated in a row so that no two second year students may sit together ?

In how many ways can 4 boys and 3 girls be arranged in a row so that no two girls come together ?

In how many ways can 24 persons be seated round a table, if there are 13 seats?

In how many ways can a committee of a 3 ladies and 4 gentlemen be appointed from a meeting consisting of 8 ladies and 7 gentlemen ? What will be the number of ways if Mrs . X refuses to serve in a committee if Mr . Y is a member

Seven relatives of a man comprises four ladies and three gentlemen: his wife has also seven relatives-three of them are ladies and four gentlemen. In how many ways fan they invite 3 ladies and 3 gentlemen at a dinner party so that there are three man's relatives and three wife's relatives?