In how many ways can 5 prizes be awarded to 4 boys if each boy is eligible for any number of prizes?

In how many ways can one post 3 letters in 5 post boxes?

In how many ways can 10 scrips be arranged, so that the best and the worst do not come together?

In how many ways can 7 boys and 5 girls be arranged in a row so that no two girls come together?

In how many ways can 12 different books be equally distributed among three students?

In how many ways can seven person be seat in a row of seats if two persons insist on sitting next to each other?

In how many different ways can one invite 3 or more of his 6 friends?

In how many ways can 5 boys and 3 girls stand in a row such that no two girls are together?

Using all the digits 1,4,5,8,9 in how many ways can numbers be formed,so that the numbers would be divisible by 5?

In how many, ways can 5 boys and 5 girls be placed in a circle,so( that no two boys are side by side?

A group consists of 4 girls and 7 boys.Ion how many ways can a tean of 5 members be selected so that the team has at least one boy and one girl?