Factorial, Permutations & Combinations

Calculate n!, permutations nPr and combinations nCr exactly with big integers β€” essential for probability and combinatorics.

Results

n!β€”
nPr = n!/(nβˆ’r)!β€”
nCr = n!/(r!(nβˆ’r)!)β€”
Combinations with repetitionβ€”

How to use the Factorial, Permutations & Combinations

  1. Enter or select: n, r.
  2. The results (n!, nPr = n!/(nβˆ’r)!, nCr = n!/(r!(nβˆ’r)!), Combinations with repetition) are calculated instantly as you type.
  3. Use β€œCopy link” to share the calculation with the same input values.

Formula

  • n! = 1Β·2Β·3·…·n
  • nPr = n!/(n βˆ’ r)!
  • nCr = n!/(r!(n βˆ’ r)!)

About this tool

Permutations count ordered arrangements; combinations count unordered selections.