Permutations & Combinations
MathCalculate nPr and nCr instantly.
nPr = ordered arrangements · nCr = unordered selections
Enter n and r (n ≥ r ≥ 0)
Permutations (nPr) count the number of ordered arrangements of r items chosen from n, where order matters: nPr = n! ÷ (n−r)!. Combinations (nCr) count unordered selections where order does not matter: nCr = n! ÷ (r! × (n−r)!). These are central to probability, statistics, and combinatorics — for example, counting possible passwords, lottery outcomes, or committee selections.
How to use Permutations & Combinations
- 1Open the Permutations & Combinations calculator above.
- 2Enter your values into the input fields.
- 3Read the result shown instantly.
Formula
nPr = n! ÷ (n−r)! | nCr = n! ÷ (r! × (n−r)!)
Example
n=5, r=2 → nPr 20, nCr 10.
FAQs
What is Permutations & Combinations؟
Calculate nPr and nCr instantly.
Is Permutations & Combinations free to use?
Yes — it is 100% free, runs entirely in your browser, and needs no sign-up.
Does Permutations & Combinations work on mobile?
Yes, it is fully responsive and works on phones, tablets, and desktops.
