Formulas

Permutation

nPr = n! / (n-r)!

Used when order matters. How many ways to arrange r items from n.

Combination

nCr = n! / (r! x (n-r)!)

Used when order does not matter. How many ways to choose r items from n.

Example: From a deck of 52 cards, how many 5-card hands are possible? C(52,5) = 2,598,960. But how many 5-card sequences? P(52,5) = 311,875,200.
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