In how many ways can 15 identical blankets be distributed among six beggars such that everyone gets at least one blanket and two particular beggars get equal blankets and another three particular beggars get equal blankets.

In how many ways 14 identical toys be distributed among three boys so that each one gets atleast one toy and no two boys get equal no of toys ?

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.

In how many ways can we get a sum of at most 17 by throwing six distinct dice?

In how many ways can we get a sum greater than 17 by throwing six distinct dice.

5 different objects are to be distributed among 3 persons such that no two persons get the same number of objects. Number of ways this can be done is,

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.

In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the students can get any number of prizes?

In how many different ways may 12 things, 4 each of three varieties be distributed equally among two persons? Things of the same variety are assumed to be identical.

A delegation of four students is to be selected from al total of 12 students. In how many says can the delegation be selected. if all the students are equally willing? if two particular students have to be included in the delegation? if two particular students do not wish to be together in the delegation? if two particular students wish to be included together only in the delegation? if two particular students refuse to be together and two other particular students wish to be together only in the delegation?

n different toys have to be distributed among n children. Find the number of ways in which these toys can be distributed so that exactly one child gets no toy.