Combination Calculator

Use our free combination calculator to find nCr, the number of ways to choose r items from a set of n items without regard to order.

Math

n (total items)

r (chosen)

Formula

A combination is a selection of r items from n without regard to order. nCr = n! / (r! × (n-r)!).

C(n, r) = n! / (r! × (n-r)!)

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter n (total items).
2Enter r (items to choose).
3Click Calculate.

Examples

C(10, 3)

1.C(10,3)=10!/(3!×7!)=120

Result: 120

C(5, 2)

1.C(5,2)=5!/(2!×3!)=10

Result: 10

Frequently Asked Questions

A selection of items where order does not matter.

C(n,r) = n! / (r! × (n-r)!).

C(n,0) = 1.

C(n,1) = n.

Up to 170 (JavaScript number precision limit).

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CalculateMe Team

Last updated: 2026-07-14

Combination Calculator

Formula

How It Works

Examples

C(10, 3)

C(5, 2)

Frequently Asked Questions

What is a combination?

Formula?

C(n,0)?

C(n,1)?

Maximum n?

Related Calculators

Combination Calculator

Formula

How It Works

Examples

C(10, 3)

C(5, 2)

Frequently Asked Questions

What is a combination?

Formula?

C(n,0)?

C(n,1)?

Maximum n?

Related Calculators