In how many different ways the following 5 prizes be distributed among 10 students? First and second in Mathematics; first and second in physics and first in Hindi.

In how many ways can the following prizes be given away to a class of 20 students: first and second in mathematics,l first and second in chemistry, first in physics and first in English?

A class has 30 students. The followign prizes are to be awarded to the students of the class- first and second in mathematics, first and second in Physics, first in Chemistry and first Biology. If N denote the number of ways in which this can be done, then

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

In how many ways can 5 different balls be distributed among three boxes?

In how many ways can 6 prizes be distributed among 4 students. If each student can receive more than one prize?

In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?

In how many ways can 9different books be distributed among three students if each receives atleast 2 books?