Four boys and three girls are to be seated in a row. In how many ways can it be done if they are seated alternately?

Eight children are to be seated on a bench. In how many ways can the children be seated ?

In how many ways can 8 students be seated in : a line ?

Four persons A, B, C and D are to be seated at a circular table. In how many ways can they be seated ?

In how many ways can a tissue grow in size?

A committee of 2 boys is to be selected from 4 boys. In how many ways can this be done ?

Four books, one each in Chemistry, Physics, Biology and Mathematics, are to be arranged in a shelf. In how many ways can this be done ?

In how many ways can five children stand in a queue ?

Three boys and three girls are to be seated around a table in a circle. Among them, the boy X does not want any girl neighbour and the girl Y does not want any boy neighbour. How many such arrangements are possible ?

There are three prizes to be distributed among 6 students. In how many ways can this be done when there is no resrtiction as to the number of prizes that a boy may get.

In how many ways can 6 girls and 4 boys be seated in a row so that no two boys are together?