Combination Calculator C(n,r)
Calculate the number of unordered selections of r items from n elements.
Result
120
C(10, 3) = 120
Result in all units
Step-by-step solution
C(n,r) = n! / (r!·(n−r)!)
What Is a Combination?
A combination is the number of ways a certain number of elements can be chosen from a group without regard to order. It is used for selections where the order does not matter.
How is it calculated?
How Is It Calculated?
C(n, r) = n! ÷ (r! × (n − r)!)
- Enter the total number of elements n and the number r to be chosen.
For example, choosing 2 out of 5 people: 5! ÷ (2!×3!) = 10.
Frequently Asked Questions
Is combination or permutation used in the lottery?
Combination is used because order does not matter; the order of the drawn numbers does not change the result.