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

supermanaccz
Nov 1, 2017

#1**+2 **

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]

CPhill
Nov 1, 2017