In how many ways 8 balls can be distributed among 3 children so that one child gets 4 balls and two children get 2 ball each?

In how many ways can 20 identical toys be distributed among 4 children so that each one gets at least 3 toys?

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

In how many ways 5 different balls can be distributed into 3 boxes so that no box remains empty?

Case 4 In how many ways 14 identical toys be distributed among three boys so that each one gets atleast one toy and no two boys get equal no of toys ?

In how many ways 16 identical things can be distributed among 4 persons if each person gets atleast 3 things.

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

In how many ways can 14 identical toys be distributed among three boys so that each one gets at least one toy and no two boys get equal number of toys.

8 different balls have to be distributed among 3 children so that every child receives at least 1 ball, the total number of ways to do this is:

In how many ways can 21 identical blankets be distributed among three beggars so that exactly two of them get equal number of blankets.

In how many ways can 4 different balls be distributed among 5 different boxes, when i. no box has more than one ball. ii.a box can have any number of balls. iii. No box contains all the balls