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29 March, 14:19

A test consists of 20 questions, and students are asked to only answer 15 of them. In how many different ways can they choose 15 questions?

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  1. 29 March, 14:28
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    N = 20, r = 15;

    n C r = (n * (n - 1) (n - 2) ... (n - r + 1)) / r! =

    20 C 15 = (20 * 19 * 18 * 17 ... 8 * 7 * 6) / (15 * 14 * 13 ... * 5 * 4 * 3 * 2 * 1) =

    = 15,504

    Answer:

    They can choose 15 questions in 15,504 ways.
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