Permutations & Combinations Calculator

Compute nPr, nCr, and related counting values for n and r.

Total items (n)

Chosen (r)

Results

Permutations nPr (no repetition)720

n! / (n−r)! — ordered selections

Combinations nCr (no repetition)120

n! / (r!(n−r)!) — unordered selections

Permutations (with repetition)1,000

n^r — ordered, items may repeat

Combinations (with repetition)220

C(n+r−1, r) — multiset coefficient

n!3,628,800

factorial of 10

n = 10r = 3r ≤ n

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