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If you have n objects and you are choosing r of them, then there are nCr combinations. This is equal to n!/( r! * (n-r)! ).

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15y ago

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Combinations represent the selection of items from a larger set where the order does not matter. They can be mathematically expressed using the binomial coefficient, denoted as ( C(n, k) ) or ( \binom{n}{k} ), where ( n ) is the total number of items, and ( k ) is the number of items to choose. The formula to calculate combinations is ( C(n, k) = \frac{n!}{k!(n-k)!} ), where ( ! ) denotes factorial. Combinations are often used in probability and statistics to evaluate different group selections.


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