How many different committees, each consisting of 3 girls and 2 boys can be chosen from 7 girls and 5 boys ?

How many different teams of 7 payers can be chosen from 10 players ?

Three groups of children contain respectively 3 girls and 1 boy , 2 girl and 2 boys , 1 girl and 2 boys . One child is selected at random from each group.The chance that the three selected children consists of one girl and 2 boys is

Find the numbers of ways in which 5 girls and 5 boys can be arranged in a row if no two boys are together.

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

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

A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this club including the selection of a captain (from among these 4 members) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is

How many different 4-digit numbers can he formed from the digits 2, 3, 4 and 6 if each digit is used only once in a number ? Further, how many of these numbers : end in a 3 ?

How many different 4-digit numbers can he formed from the digits 2, 3, 4 and 6 if each digit is used only once in a number ? Further, how many of these numbers : end in a 3 or 6 ?

How many different 4-digit numbers can he formed from the digits 2, 3, 4 and 6 if each digit is used only once in a number ? Further, how many of these numbers : end in a 4 ?

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