# C is for Cookie

Ten identical cookies are to be distributed among five different kids (A, B, C, D, and E). All 10 cookies are distributed. How many different ways can the five kids be given cookies?

July 13, 2010
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Ten identical cookies are to be distributed among five different kids (A, B, C, D, and E). All 10 cookies are distributed. How many different ways can the five kids be given cookies?

Hints

Hint 1

You could keep track of all the different combinations: first assume A gets 10, then A gets 9, then ... but there is a faster way of doing it, that allows one to solve it in one's head, without paper, without pens!

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