The number of ways of giving `5` different prizes to `4` boys so that each boy is eligible for any number prizes is

In how many ways 3 prizes can be given away to 7 boys when each boy is eligible for any of the prizes.

Let N be the number of ways in which 10 different prizes be given to 5 students, so that one boy get exactly 4 prizes and the rest of the students can get any number of prizes. Then N is divisible by

Number of ways in which 5 prizes be given away to 8 students when elach student is eligible for all the prizes is

The number of ways in which 5 different prizes can be distributed amongst 4 persons if each is entitled to receive at most 4 prizes is:

The number of ways of arranging 20 boys so that 3 particular boys are separated is:

The number of ways in which thirty five apples can be distributed among 3 boys so that each can have any number of apples, is :

In how many ways can three prizes be given away to 5 students when each student is eligible for any of the prizes?

Find the number of ways in which n different prizes can be distributed among m(< n) persons if each is entitled to receive at most n-1 prizes.

Number of ways of arranging 4 boys and 3 girls so that no boy is in between any two girls

10 different books and 2 different pens are given to 3 boys so that each gets equal number of things. The probability that the same boy does not receive both the pens is