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.

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:

If the number of ways in which n different things can be distributed among n persons so that at leastone person does not get any thing is 232. Then n is equal to

Find the number of ways in which 8 non- identical apples can be distributed among 3 boys such that every boy should get at least 1 apple and at most 4 apples.

Find the number of ways in which 13 identical apples can be distributed among 3 persons so that no two persons receive equal number of apples and each can receive any number of apples.

The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of then gets a sweat is:

Find the number of ways in which 8 distinct toys can be distributed among 5 children.

Let m denote the number of ways in which 4 different books are distributed among 10 persons,each receiving none or one only and let n denote the number of ways of distribution if the books are all alike.Then

Number of ways in which 12 different things can be distributed in 3 groups, is