Permutation & Combination Calculator

Calculate permutations and combinations with or without repetition, including formulas and step-by-step explanations.

Calculation Type Permutation (nPr) Combination (nCr)

Repetition Without Repetition With Repetition

n (Total items)

r (Items chosen)

Result:

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About Permutations & Combinations

Permutations and combinations are fundamental concepts in mathematics that deal with counting possible arrangements and selections of items.

Permutation vs Combination

Permutations consider order (ABC ≠ BAC), while combinations ignore order (ABC = BAC).

When to Use Each

Use permutations when order matters, such as passwords or rankings. Use combinations when order does not matter, such as lottery numbers or group selections.

FAQs

What if r is greater than n? Without repetition, the result is 0.
Is this exact? Yes, results are mathematically exact for valid inputs.