Permutations & Combinations Calculator

Calculate permutations and combinations with or without repetition for any n and r values.

Total Items (n)

Chosen Items (r)

Type (1=P, 2=C, 3=P+Rep, 4=C+Rep)

Tab to move between fields

Result

120

Formula TypeCombination C(n,r)

log₁₀(Result)2.079

How to Use This Calculator

Enter n (total items) and r (items chosen).
Select the Type: Permutation (order matters), Combination (order irrelevant), Permutation with Repetition, or Combination with Repetition.
Review the Result and the Formula Type applied.
For very large values, use log10(Result) to work with the magnitude without overflow.
Compare all four types side by side to understand the effect of repetition and ordering assumptions.

How the result changes with Total Items (n)

Total Items (n): Total number of items to choose from
Chosen Items (r): Number of items to select
Type (1=P, 2=C, 3=P+Rep, 4=C+Rep): 1=Permutation, 2=Combination, 3=Perm w/ repetition, 4=Comb w/ repetition

Identify Input Parameters
Total Items (n) = 10, Chosen Items (r) = 3, Type (1=P, 2=C, 3=P+Rep, 4=C+Rep) = 2 = 3 input(s) provided
Calculate Result
Result
120 = 120
Calculate Formula Type
Combination C(n,r) = Combination C(n,r)

Engine last updated August 5, 2026. Checked against 8 independently-derived tests — how we verify calculators.

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