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A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.
For example, suppose we have a set of three letters: A, B, and C. We might ask how many ways we can select 2 letters from that set. Each possible selection would be an example of a combination. The complete list of possible selections would be: AB, AC, and BC.
Computing the number of combinations.
The number of Combinations of
at a time is:
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r = n(n - 1)(n - 2) ... (n - r + 1)/r! = n! / r!(n - r)! =
r / r!
Note that AB and BA are considered to be one combination, because the order in which objects are selected does not matter. This is the key distinction between a combination and a permutationFlats Women Shoes Summer Size 46 Ankle Perfues Solid Color Sandals 33 Women Beach Shoes Real Strap Bronze Leather 81qtw6q. A combination focuses on the selection of objects without regard to the order in which they are selected. A permutation, in contrast, focuses on the arrangement of objects with regard to the order in which they are arranged.