This yields the generalized equation for a combination as that for a permutation divided by the number of redundancies, and is typically known as the binomial coefficient: n C r =. n! r! × (n - r)!

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Calculate the number of possible combinations given a set of objects (types) and the number you need to draw from the set, otherwise known as problems of the type n choose k (hence n choose k calculator), as well as n choose r (hence