statistics probability

Permutations & Combinations Calculator (nPr & nCr)

Combinatorics analysis tool. Distinguishes when order matters (Permutations $nPr$) from when order does not matter (Combinations $nCr$).

Input Parameters

Total Items (n)

Chosen Items (r)

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Combinations: nCr = n! / (r! * (n - r)!). Permutations: nPr = n! / ((n - r)!).

In-Depth Guide & Mathematical Methodology

🔀 Permutations vs Combinations Rule

Permutations (nPr): ORDER MATTERS. (e.g. Lock code 1-2-3 is different from 3-2-1).

Combinations (nCr): ORDER DOES NOT MATTER. (e.g. Selecting a 3-fruit salad).

Frequently Asked Questions (FAQ)

What is the Permutations & Combinations Calculator (nPr & nCr) and how does it work?

Combinatorics analysis tool. Distinguishes when order matters (Permutations $nPr$) from when order does not matter (Combinations $nCr$).

How do I use this Permutations & Combinations Calculator (nPr & nCr)?

Enter total number of items ($n$). Enter number of chosen items ($r \le n$). View Combinations $nCr$ (order ignored) and Permutations $nPr$ (order matters).

What mathematical formula is used in this calculation?

Combinations: nCr = n! / (r! * (n - r)!). Permutations: nPr = n! / ((n - r)!).

Is the Permutations & Combinations Calculator (nPr & nCr) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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