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12 April, 16:02

A textbook search committee is considering 18 books for possible adoption. The committee has decided to select 4 of the 18 for further consideration. In how many ways can it do so?

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  1. 12 April, 18:43
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    This is a combination problem, since order does not matter. Specifically, it is an 18 - choose - 4.

    ₁₈C₄ = 18! : (4! (18-4) !

    = 18! : (4! (14!)) The 14! cancels out in the numerator/denominator

    = 18 x 17 x 16 x 15 : (4 x 3 x 2)

    = 3,060
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