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Combination Calculator

Find how many ways r items can be chosen from n items when order does not matter.

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Formula

Combination C(n, r) = n! ÷ (r! × (n − r)!), because order does not matter when only choosing items.

How it works

Enter n and r with r no larger than n. The calculator divides by the factorials of both parts. For example, C(10, 3) = 120.

FAQs

What does the Combination do?
It takes the values you enter and works out the combination for you, showing the result straight away.

What should I enter?
Enter ordinary numbers in the boxes above. If a value does not make sense for this calculation, the page will ask you to check it instead of showing a wrong answer.

Can I use the result for homework or everyday maths?
Yes. It is a general-purpose maths helper; for exam or professional work, still check the steps against your own working.

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