In how many ways the sum of upper faces of four distinct die can be five?

In how many ways the sum of upper faces of four distinct dices can be six.

Four children are running a race . (i) In how many ways can the first two places be filled ? (ii) In how many different ways could they finish the race ?

In how many ways five persons can stand in a row ?

In how many ways 5 persons can be seated in a row ?

How many bones from the skeleton of the face ?

In how many Ways 6 different balls can be distributed among 4 boxes.

In how many ways can we get a sum of at most 17 by throwing six distinct dice?