Combinations
Count unordered selections without repetition.
Your numbers
Unordered selections
Very large counts are floating-point approximations.
Scenario comparison
Up to three snapshots in this tab. Loading one replaces the current inputs.
Formula
C(n,r)=n!/[r!(n−r)!]
Count unordered selections without repetition.
Worked example
- Available items n
- 10
- Selected items r
- 3
- Unordered selections
- 120
Scope and limitations
Very large counts are floating-point approximations.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: ff7de3e9fd37 · Example checked: