Combinations and Permutations Calculator
Fill in the values and the answer updates as you type.
How the Combinations and Permutations Calculator works
Combinations = n! ÷ (r!(n − r)!). Permutations = n! ÷ (n − r)!.
Inputs and results
The Combinations and Permutations Calculator takes 2 inputs and gives 2 results.
What you enter
- Total items (n) — starts at 10.
- Items chosen (r) — starts at 3.
What you get
- Combinations (order ignored)
- Permutations (order matters)
Example: Combinations and Permutations Calculator with the starting values
With total items (n) 10 and items chosen (r) 3, the calculator returns:
| Combinations (order ignored) | 120 |
|---|---|
| Permutations (order matters) | 720 |
Change any value above and the results update straight away.
Combinations and Permutations Calculator FAQ
How do I use the Combinations and Permutations Calculator?
Enter total items (n) and items chosen (r) in the fields, then read combinations (order ignored) and permutations (order matters) in the result panel. The answer updates as you type, and you can press Calculate or Enter to refresh it. Use “Copy link” to share your exact numbers with someone else.
What does the Combinations and Permutations Calculator calculate?
Count ways to choose or arrange items. It returns combinations (order ignored) and permutations (order matters) from the 2 values you provide.
What values does the Combinations and Permutations Calculator start with?
It opens with total items (n) 10 and items chosen (r) 3 so you can see a working result straight away. Replace them with your own numbers, or press Reset to return to these starting values.
Is the Combinations and Permutations Calculator free and private?
Yes. It is free, needs no account, and runs in your browser, so nothing you type is sent to or stored on our servers. See the Privacy Policy for details.
Can I rely on the Combinations and Permutations Calculator for important decisions?
Treat the result as a well-rounded estimate. Real situations often have details a general calculator cannot know, so confirm important decisions with a qualified professional. See the Disclaimer for more.