The number of ways of dividing n identical things among r persons (or
groups), each of whom, can
receive zero or more things is n + r -1 C r −1 where 0 ≤ r ≤ n

So to divide 23 chocolates to 7 kids: 29C6 = 29! / (23!)6!


On Sat, Jun 26, 2010 at 10:11 AM, harit agarwal <[email protected]>wrote:

> look at this approach:
>
> a1+a2+a3+a4+a5+a6+a7=23
> now it means there are 23 choclates and 6 partitions(+ symbol) and arrange
> these 23+6=29 items so it is 29!
> now 23 choclates are identical so divide by 23!
>
> so number of ways=29! / 23 !
>
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