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?

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 a prizes can be given to one students of d batch A

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

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

In how many ways can 4 prizes be distributed among 5 students,when No student gets more than one prize? A student may get any number of prizes? 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 three prize can be distributed to 4 students if ( i ) one student recieve only one prize (ii) one student can recieve any number of price

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

In how many ways can 5 prizes be distributed to 3 students, it each students is eligible for any number of prizes?