✓ Effortless Math · Free Tool

Permutations & Combinations Calculator

Enter the total number of items n and how many you choose r — get the permutations (nPr) and combinations (nCr), the factorials, and full step-by-step working.

Formulas:  nPr = n! / (n−r)!  ·   nCr = n! / (r!(n−r)!)
n items, choose r

n and r must be non-negative whole numbers with n ≥ r.

Results

Permutations (nPr) & Combinations (nCr)
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Permutations (nPr)
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Combinations (nCr)
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n!
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r!
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(n−r)!
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Step-by-step