What is Combination?

Definición rápida

A selection of items where order does NOT matter. C(n,k) = n! / (k!(n-k)!).

Explicación completa

A combination is a selection of items from a larger set where order does not matter. The number of ways to choose k items from n is C(n,k) = n! / (k!(n-k)!). Example: choosing 3 cards from a 52-card deck = 22,100 combinations. Combinations are the basis of the binomial theorem and probability calculations. They differ from permutations, where order matters. "How many ways to pick a 5-card poker hand" = 2,598,960 combinations. "How many 5-letter words" = 26P5 = 7,893,600 permutations. Choose combination or permutation based on whether order is meaningful in your problem.

Calculadoras relacionadas

Calculators that use or explain Combination.

Términos relacionados

Permutation

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Last reviewed: June 15, 2026 • Category: Matemáticas