Calculate permutations nPr: the number of ordered arrangements of r items chosen from n.
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Awarding gold, silver and bronze among 10 finalists gives 10P3 = 720 ordered outcomes.
Calculate permutations nPr: the number of ordered arrangements of r items chosen from n. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
Arranging three selections from 10 distinct objects gives 720 ordered results: 10 × 9 × 8.
ABC and CBA count separately because the order is different.
This formula assumes selection without replacement; repeated symbols require a different counting model.
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Calculate permutations nPr: the number of ordered arrangements of r items chosen from n.
nPr = n! ÷ (n−r)!.
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