Three kids have to divide 15 different toys among themselves

Three kids have to divide 15 different toys among themselves in such a way that each kid gets five toys. How many ways can this be done?

Solution

The different number of ways the three kids can divide 15 different toys among themselves in such a way that each kid gets five toys is:

15C(5,5,5)

=15C10*10C5

=90810720