Free Combination Calculator
nCr combinations and nPr permutations.
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Inputs
Result
C(10, 3) combinations
120
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Short answer
nCr combinations and nPr permutations.
What is the Combination Calculator?
nCr combinations and nPr permutations.
How does the Combination Calculator work?
Enter the inputs above and read the result.
Formula
Variables
nTotal itemsrItems chosen
Explanation
Combinations ignore order; permutations count each ordering separately.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Combination Calculator sits inside the Math Calculators hub, in the statistics & probability cluster. Describing data and quantifying uncertainty. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Combination
nCr combinations and nPr permutations. Within math calculators, combination belongs to the statistics & probability cluster, where it shares terminology and assumptions with closely related tools.
Learning how combination is calculated
Combinations ignore order; permutations count each ordering separately. Working through the variables one at a time — n, r — makes the result reproducible by hand and easier to sanity-check.
Using combination to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How combination compares with related measures
distribution, dispersion, significance, sample all describe adjacent aspects of statistics & probability. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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