// multi-utility computation suite · offline · instant · precise
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math.combinatorics Calculator
Calculates the number of permutations (ordered) and combinations (unordered) of r items chosen from n, with and without repetition. Combinations give lottery odds; permutations give password possibilities — this covers all four standard counting cases.
Inputs
N
Reference formula or conversion factor shown for context.
R
Reference formula or conversion factor shown for context.
Rep
Reference formula or conversion factor shown for context.
K
Reference formula or conversion factor shown for context.
Results
combinations C(n,r)
The value at the specified point or condition.
permutations P(n,r)
The value at the specified point or condition.
with repetition?
Sample size or count used in the calculation.
stars&bars C(n+k-1,k)
Sample size or count used in the calculation.
P/C ratio
The proportional relationship between two quantities.
n! total arrangements
The combined total across all inputs and components.