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How many ways are there to select 15 cookies

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Reference no: EM132855955

A cookie store sells 6 varieties of cookies. It has a large supply of each kind.

(a) How many ways are there to select 15 cookies? 20 choose 5

(b) How many ways are there to select 15 cookies if at least three must be chocolate chip? 17 choose 5

(c) How many ways are there to select 15 cookies if at most 2 can be sugar cookies? (20 choose 5) - (17 choose 5)

(d) How many ways are there to select 15 cookies if at most 2 can be sugar cookies and at least 3 must be chocolate chip? To me, this looks like it is just subtracting b and c from a, but wouldn't this be (20 choose 5) - [(17 choose 5) - (20 choose 5 - 17 choose 5)]?

Reference no: EM132855955

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