Sumivo · Mathematics
Combination Calculator (nCr)
Count selections where order does not matter.
01 / INPUTS
n
Use a non-negative integer.
k
Use a non-negative integer. If k is greater than n, the result is 0.
02 / RESULT
COMBINATIONS
10
- C(n, k)
- 10
- n
- 5
- k
- 2
Calculation trace
- C(5, 2) = 1010Combination
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SOURCES
- National Institute of Standards and Technology (NIST)NIST Digital Library of Mathematical Functions (DLMF) ↗
Combinations C(n,r) = n! / (r!(n-r)!) (binomial coefficient)
Accessed 2026-08-20