Combinations Calculator
Calculate the number of unordered selections without repetition and review the n choose r formula for your values.
Unable to calculate combinations with the current values.
Combinations result:
About Combinations Calculator
Combinations Calculator evaluates the number of unordered selections without repetition. It is useful for lottery-style counts, selecting groups, planning subsets, and checking binomial coefficient values without having to expand factorials by hand.
How To Use It
Enter the total number of objects and the size of the sample you want to choose.
- Enter the total number of available objects in Objects (n).
- Enter how many objects are selected in Sample (r).
- Click Calculate Combinations to see the exact count and the formula representation.
Examples
-
Choose two objects from four
Input: Objects (n): 4 Sample (r): 2 Output: Combinations: 6 Formula: 4! / (2! * 2!)
-
Choose three cards from ten
Input: Objects (n): 10 Sample (r): 3 Output: Combinations: 120 Formula: 10! / (3! * 7!)
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