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Permutation and Combination Calculator

Calculate permutations P(n,r) and combinations C(n,r) — also known as nCr and nPr — with formulas and explanations.

Inputs

Results

C(n,r) — Combinations
P(n,r) — Permutations
n! (n factorial)
r! (r factorial)
(n−r)! factorial

Permutations vs Combinations

Permutation P(n,r) = n! / (n−r)! — order matters (e.g., arranging people in a line). Combination C(n,r) = n! / (r! × (n−r)!) — order does NOT matter (e.g., choosing a committee). Example: P(5,3) = 60, C(5,3) = 10.

What is the Permutation And Combination Calculator?

The Permutation And Combination Calculator is a fast, free online tool designed to help you quickly and accurately calculate or convert your values. Whether you are a student, engineer, professional, or hobbyist, this tool provides instant, high-precision results right in your browser.

How It Works

Our calculator uses industry-standard mathematical formulas and conversion factors to process your inputs. It runs completely locally in your browser, meaning it is lightning-fast and your data never leaves your device. Simply enter your known variables, and the dynamic engine will automatically perform the necessary computations in real-time.

How to Use It

1. Enter your starting values into the provided input fields.
2. Select the appropriate units or configuration options if applicable.
3. Click the calculate button (or watch as it auto-calculates) to get your instant results.
4. You can easily copy the result or reset the form to perform a new calculation.

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