Permutations & Combinations Calculator

Compute Permutations (nPr), Combinations (nCr), and Homogeneous Combinations (nHr) with factorial steps

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Calculate probability choices. Compute major combinatorics formulas with step-by-step factorial fraction breakdowns.

How to use

  1. Input the total number of items (n) and the number of chosen items (r).
  2. Select the calculation mode (Permutation, Combination, Homogeneous, etc.).
  3. Inspect the precision values computed via BigInt arithmetic and copy the output.

FAQ

What is the difference between Permutations and Combinations?
Permutations consider the order of selection to be important (ordering matters), whereas Combinations do not care about the order of selected elements (grouping only).

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