In how many ways can 3 prizes be given to 10 boys when a boy may receive any number of prizes ?

In how many ways can 4 prizes be given to 3 boys when a boy is eligible for all the prizes ?

A class has 30 students, In how many ways can three prizes be awarded so that: a student may get any number of prizes?

In how many ways can a tissue grow in size?

There are three prizes to be distributed among 6 students. In how many ways can this be done when there is no resrtiction as to the number of prizes that a boy may get.

A class has 30 students, In how many ways can three prizes be awarded so that: no student gets more than one prize?

In how many ways can 8 students be seated in : a line ?

In how many ways can five children stand in a queue ?

In how many ways can 15 things be divided into groups of 8, 4 and 3 respectively.

In how many ways can 12 different balls be divided between 2 boys, one receiving 5 and the other 7 balls? Also, in how many ways can these 12 balls be divided into groups of 5,4 and 3 balls, respectively?