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The n choose k formula is also known as combinations formula (as we call a way of choosing things to be a combination). This formula involves factorials. The n Choose k Formula is: C (n , k) = n! / [ (n-k)! k! ]

? A permutation is an arrangement of a set of objects where order matters. A combination is a selection from a set of objects where order does not matter.

Combinations Formula: C ( n , r ) = n ! ( r ! ( n ? r ) ! ) For n ? r ? 0. Also referred to as r-combination or "n choose r" or the binomial coefficient. In some resources the notation uses k instead of r so you may see these referred to as k-combination or "n choose k."