In how many ways can 2 different prizes be awarded to 15 students, without giving both to the same student?

In how many ways can a tissue grow in size?

In how many ways can 5 different books be tied up in three bundles?

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 4 prizes be distributed among 5 students, if no student gets all the prizes?

In how many ways can six different rings be worn on the four fingers of one hand ?

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

In how many ways can 18 different books be divided equally among three students ?

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 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?