Find the number of ordered arrangements (permutations) of r elements from n total items.
Result
Order matters in permutations.
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nPr = n! / (n - r)!
n = 8 items, r = 3 to arrange.
8P3 = 336 possible ordered arrangements.
Calculate the number of unordered combinations (nCr) of selecting r items from n choices.
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Open calculatorUse permutations when order matters (e.g. ranking 1st, 2nd, and 3rd place, or passcode sequences). Use combinations when order is irrelevant (e.g. selecting a committee of 3 people).
A permutation is an arrangement of outcomes where order is critical. For example, the sequence [A, B, C] is distinct from [C, B, A], creating substantially more permutations than combinations.