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

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

In how many ways can 5 prizes be distributed among 4 students, when each students may receive any number of prizes.

In how many ways can 4 prizes be distributed among 5 students, when (1)No student gets more than one prize? (2)A student may get any number of prizes? (3)No student gets all the prizes?

In how many ways can 4 prizes be distributed among 5 students, if no student gets all the prizes?

In how many ways can 12 books be divided in 3 students equally?

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 ways can n things be given to p persons, when each person can get any number of things.

In how many ways can 2 prizes be awarded to 9 contestants provided no contestant gets both the prizes?

In how many ways can 3 prizes be distribhuted among 4 boys . When (i) no boys gets more than one prizes (ii) a boys may get any numbers of prizes (iii) no boys get all the prizes.