Mother and father and their six children (3 boys and 3 girls) are to be seated at a round table. How many ways can this be done if mother and father sit together and the males and females alternate?

In how many ways can 8 persons be seated at a round table so that 2 particular persons sit together?

In how many ways can 5 boys and 5 girls be seated around a table so that no two boys are adjecent?

Six men and five women sit around a table. In how many ways can they seat themselves so that no two ladies are together?

In how many ways can five persons be seated at a round table conference?

In a train five seats are vacant, then how many ways can three passengers sit

In how many ways can 4 Indians and 4 Pakistanis is to be seated at around table so that no two Indians may be together?

Six persons A, B, C, D, E and F are to be seated at a circular table. In how many ways can this be done, if A must always have either B or C on his right and B must always have either C or D on his right?

3 boys and 3 girls are to sit in a row. How many ways can this be done if (i) there are no restrictions (ii) there is a girl at each end (iii) boys and girls are at alternate palces (iv) all boys sit together