Permutations and Combinations

A permutation is a particular sequence of a given set of objects. A combination is the set itself without reference to order.

  1. The number of different permutations of n distinct objects taken r at a time is

  2. The number of different combinations of n distinct objects taken r at a time is

  3. The number of different permutations of n objects taken n at a time, given that ni are of type i, where i = 1, 2,..., k and Σni = n, is

See also: Probability.

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Subjects: Mathematics