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Combination, number of cases

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A combination is composing subsets by adopting some of elements of a set.

For a combination of selecting k subsets out of a set having n elements, the number of cases is called the binomial coefficient and expressed as nCk or C(n, k).

nCk = n! / {(n-k)!k!}

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nCk = fac(n) / {fac(n-k)*fac(k)}
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