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Combinations (nCr)

Calculate combinations without replacement

Combinations Calculator

C(n,r) — order does not matter

Combinations count ways to choose items where order does not matter. Permutations count ways where order does matter. Both use factorials and appear in probability, statistics, and combinatorics.

Fun Fact

There are C(52,5) = 2,598,960 possible 5-card poker hands from a standard deck, but only 4 are Royal Flushes — odds of 1 in 649,740.

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