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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