c+CalcLantern

Combinations

Count unordered selections without replacement.

How this works

C(n,r) = n! / [r!(n − r)!], using exact integer arithmetic.

Example

Using the example inputs, unordered selections is 120.

Available items
10
Selected items
3
Unordered selections
120

Scope and assumptions

Uses your inputs only; results are rounded for display.

OpenStax mathematics

Related calculators

Binomial probability

Permutations

Factorial

Poisson probability

Percentage

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