Find the number of ways in which 22 different books can be given to 5 students, so that two students get 5 books each and all the remaining students get 4 books each.

The number of ways in which 7 different books can be given to 5 students if each can receive none, one or more books is

Number of ways in which 15 different books can be arraged on a shelf so that two particular books shall not be together is

Let N be the number of ways in which 10 different prizes be given to 5 students, so that one boy get exactly 4 prizes and the rest of the students can get any number of prizes. Then N is divisible by

In how many ways,7 different books are given to 2 students one get 4 books and another gets 3 books?

The number of ways in which n books can be arranged so that two particular books are not together is