Sumivo · Mathematics
Permutation Calculator (nPr)
Count arrangements where order matters.
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
PERMUTATIONS
20
- P(n, k)
- 20
- n
- 5
- k
- 2
Calculation trace
- P(5, 2) = 2020Permutation
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SOURCES
- National Institute of Standards and Technology (NIST)NIST Digital Library of Mathematical Functions (DLMF) ↗
Permutations P(n,r) = n! / (n-r)! and factorials
Accessed 2026-08-20