Permutation & Combination Calculator
Calculate nPr and nCr, with or without repetition.
Visual breakdown
Detailed breakdown
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What is the Permutation & Combination Calculator?
Permutations count ordered arrangements; combinations count unordered selections. Use them in probability, lotteries and counting problems.
How to use this calculator
- Enter your values in the input fields. Use the sliders where available for quick changes.
- Choose the options that fit your case - currency, number format and decimals can be changed in the Options bar.
- The result updates instantly as you type. Press Calculate to refresh.
- Review the summary, the chart and the detailed table (when shown).
- Use Export & share to download a snapshot image (PNG or JPG), copy the result, print, save a CSV, or copy a link that reopens your inputs.
Formula and method
nCr = n! / (r! x (n - r)!)
Worked example
Loading example...
Options you get
- Currency symbol and Indian or international digit grouping
- Decimal places control
- Instant results with charts and tables (where relevant)
- Snapshot image export (PNG / JPG), copy image, CSV, print and share link
- Light and dark themes - works on mobile, tablet and desktop
Frequently asked questions
Which one do I use?
If order matters (race positions, passwords) use permutations; if not (committee selection) use combinations.
Is this calculator free to use?
Yes. All MCSBiz calculators are free, work in your browser and need no sign-up.
Is my data stored or sent to a server?
No. Calculations run on your own device. Your inputs are not uploaded, and nothing is saved unless you choose to share a link or export an image.
Can I save or share my result?
Yes. Use "Download PNG" or "Download JPG" to export a snapshot image, copy the result, print it, download a CSV, or copy a link that reopens the calculator with your inputs.
Important note
Results are computed with standard mathematical formulas using floating-point arithmetic and may show tiny rounding differences.