In how many ways a prizes can be given to one students of d batch `A`

A coaching institute for IIT has 4 batches. Number of boys and girls in each batch is given below 1) In how many ways a prize can be given to one student of batch A

In how many ways can 5 prizes be distributed to 8 students if each student can get any number of prizes?

In how many ways can 5 prizes be distributed to 8 students if each student can get at maximum of only one prize?

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 three prizes be given away to 5 students when each student is eligible for any of the prizes?

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 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?

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?

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?

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?