I have 10 identical pieces of candy. In how many different ways can I distribute the candies to 4 different kids?

Assuming that each kid got at least one piece of candy [ we don't want any riots....!!! ]

The number of ways is 

C  [ k -1 , n - 1 ]

Where =  10   and n  = 4

So we have

C [ 9 , 3  ]  =  84  ways

[ This is analogous to the problem of distributing k identical balls into n distinguishable boxes]

Thanks!