Gerund's Dilemma

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Gerund will give nine identical cookies to four different people. How many ways can Gerund give out the cookies?

Note: Gerund can give someone no cookies, or another person all the cookies!


The answer is 220.

Asher Joy by Asher Joy , 22, USA

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1 solution

Dennis Reed
Jan 19, 2014

We use stars and bars. We have 9 + 4 − 1 = 12 9+4-1=12 stars and 4 − 1 = 3 4-1=3 bars. Therefore, we have ( 12 3 ) = 220 \binom{12}{3}=\boxed{220} ways to split the cookies.

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Yup. That was how I solved/made it too :)

Asher Joy - 7 years, 4 months ago

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