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Combinations & Permutations Calculator

Compute nCr and nPr — with or without replacement. Choose order-matters or order-doesn't-matter.

When to use which?

  • Combinations — order doesn't matter. Example: picking 3 toppings from 8 (a "sandwich combinations" problem).
  • Permutations — order matters. Example: arranging 3 books from 10 on a shelf.
  • With replacement — items can be reused. Example: rolling a 6-sided die 4 times → 6⁴ outcomes.