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Permutation and Combination Calculator

Calculate nPr and nCr with factorial support.

Permutations (nPr)
60
n!
120
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What is Permutation and Combination Calculator?

A permutation and combination calculator computes the number of ways to arrange or select items — nPr and nCr.

These formulas are used in probability, statistics, and counting problems.

How does the Permutation and Combination Calculator work?

nPr = n! / (n–r)! | nCr = n! / (r! × (n–r)!)

Permutations count ordered arrangements; combinations count unordered selections.

The calculator shows both values for your n and r.

How to use the Permutation and Combination Calculator?

  1. Enter the total items (n) and the chosen count (r).
  2. The calculator shows nPr and nCr.

Example

Try the calculator with your own numbers

  1. Enter your values in the input fields above.
  2. Adjust the values to match your situation.
  3. The result updates instantly as you change the inputs.
Your result appears instantly — no manual calculation needed.

Benefits of using the Permutation and Combination Calculator

  • Solve counting problems.
  • Calculate probabilities.
  • Plan selections and arrangements.

Who should use the Permutation and Combination Calculator?

  • Students practising problems and verifying homework answers.
  • Teachers preparing examples and checking student work.
  • Engineers and analysts who need quick, reliable calculations.
  • Anyone who wants to double-check manual arithmetic.

Tips for getting the most out of the Permutation and Combination Calculator

  • Check your inputs for typos — a single wrong digit changes the result completely.
  • Use the result to verify your manual working, not to replace understanding.
  • Try a simple case first (like 0 or 1) to make sure the output makes sense.

Frequently Asked Questions

What is the difference between permutation and combination?

Order matters in permutations (ABC ≠ CBA) but not in combinations (ABC = CBA).

What is n! (n factorial)?

The product of all integers from 1 to n — e.g. 5! = 120.

The Permutation and Combination Calculator turns a tedious calculation into an instant answer, so you can focus on understanding the concept instead of the arithmetic.

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Permutation And Combination Calculator

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Combination Calculator

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Linear Combination Calculator

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Permutation Calculator

Calculate the number of permutations P(n, r).

Combinations Calculator

Calculate combinations nCr (order does not matter).

Factorial Calculator

Calculate the factorial n! of a non-negative integer.

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