What is a combination?

A combination is an unordered selection of items. nCr calculates how many ways you can choose r items from n total items, where order doesn't matter. Example: choosing 3 committee members from 10 people.

What is the combination formula?

The combination formula is nCr = n!/(r!(n-r)!) also written as C(n,r) or 'n choose r'. For example, 10C3 = 10!/(3!×7!) = 120.

How do combinations relate to Pascal's triangle?

Pascal's triangle displays combination values. Each number is nCr where n is the row (starting at 0) and r is the position in the row (starting at 0). The 3rd position of row 10 gives 10C3 = 120.

Biggest Calculator Hub

Math & StatisticsVerifiedFeb 2026

Combination Calculator

Name: Combination Calculator
Author: Biggest Calculator Hub

Calculate combinations nCr (unordered selections) using the formula n!/(r!(n-r)!). Find the number of ways to choose r items from n items.

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How to Use the Combination Calculator

This free combination calculator helps you quickly calculate combinations (ncr). Simply enter your values in the fields above and click "Calculate" to see your results instantly.

Understanding Your Results

After entering your information, the calculator will display your results including combinations (ncr), formula, calculation. Each result is calculated using standard formulas used by financial professionals and experts in the field.