Free Combination Calculator
Calculate the number of combinations (unordered selections) of n items taken r at a time. Uses the formula C(n,r) = n! / (r! × (n-r)!).
Combinations
120
Permutations720
How to Calculate Combinations
Formula
C(n, r) = n! / (r! × (n - r)!)
Where:
Combinations count selections where order does not matter.
Example Calculation
How many ways can you choose 3 items from a set of 10? (Order does not matter)
- 01C(10, 3) = 10! / (3! × 7!)
- 02= 3,628,800 / (6 × 5,040)
- 03= 3,628,800 / 30,240
- 04= 120
Frequently Asked Questions
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