A free online permutation and combination calculator. Compute nPr (permutations where order matters) and nCr (combinations where order does not matter) for any n and r values. Includes factorial breakdown for full transparency.
Enter the total number of items (n).
Enter the number of items to choose (r).
View nPr (permutations) and nCr (combinations) instantly.
Review the factorial breakdown for each component.
Permutations (nPr) count arrangements where order matters. Combinations (nCr) count selections where order does not matter. For example, picking 3 winners from 10 — if order of winners matters, use permutation.
If r is larger than n, or if negative values are entered, the result will be NaN (not a number). Ensure n ≥ r and both are non-negative.
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