Permutation & Combination Calculator

Non-negative integer.
0 ≤ r ≤ n.
nCr = number of ways to choose r items (order doesn’t matter).
nPr = number of ways to arrange r items (order matters).

Permutation & Combination – Quick Cheat Sheet

How this tool stays exact
  • Uses multiplicative reduction: cancel denominator factors via GCD before multiplying.
  • Final multiplication is done as big-integer strings, avoiding overflow.
  • For extremely large outputs, an additional scientific approximation is shown for readability.

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