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.

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 5 prizes be distributed among 4 students, when each students may receive any number of prizes.

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

In how any ways can 8 different books be distributed among 3 students if each receives at least 2 books?

In how many ways 12 different books can be distributed equally among 3 persons?

In how many ways 12 different books can be distributed equally distributed equally among 4 persons?

Name the first and second elements of groups 14.

Which among the following originated first