In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and 4 green jelly beans?
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Are we picking a total of 8 jelly beans? – trang1618 Oct 01 '16 at 23:18
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Yes, you are picking 8 jelly beans. The answer is supposedly 813, 960 though I can't seem to get it. – Ryan Oct 01 '16 at 23:21
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There are ${19 \choose 4}$ ways to pick 4 red jelly beans and $ {10 \choose 4}$ ways to pick 4 green jelly beans. Hence,
$${19 \choose 4}{10 \choose 4} = 813960.$$
trang1618
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