In more detail
Arranging 3 of 10 people in order (such as first, second and third place) gives 10 × 9 × 8 = 720. Order matters; when it does not, use a Combination.
Glossary
Math & Statistics
Permutation
A permutation is an ordered arrangement of items; `P(n, k) = n! / (n − k)!` counts the ways to arrange k items chosen from n.
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See also
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Glossary
Combination
A combination is a selection of items where order does not matter; `C(n, k) = n! / (k! (n − k)!)` counts the ways to choose k from n.
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Glossary
Factorial
The factorial of n, written n!, is the product of all positive whole numbers up to n, and counts the ways to order n distinct items.