Combination Calculator

Calculate combinations (nCr) - selections where order doesn't matter.

Total number of items to choose from
Number of items to select

Type

Each item can only be chosen once

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10C3

0

nCr

10C3

0 ways

nPr (for comparison)

10P3

0 arrangements

Ratio P/C

= r! = 6

Combination vs Permutation

Combinations (Order ✗)

0

ABC = ACB = BAC = ...

Permutations (Order ✓)

0

ABC ≠ ACB ≠ BAC ≠ ...

Documentation

Understanding Combinations

Combinations count the number of ways to select r items from n items when order doesn't matter. It's the number of subsets of size r.

Without Rep

With Rep

Symmetry

Frequently Asked Questions
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