Factorial Binomial Calculator
Calculate factorials, permutations nPr, combinations nCr, and binomial coefficients with exact big integers.
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Factorials, permutations, and combinations
Enter n and r to compute n!, the permutation count P(n,r), and the binomial coefficient C(n,r). Big integers keep exact values for modest inputs used in combinatorics exercises.
Related: Factorial Calculator, Combinations Permutations Calculator.
Frequently Asked Questions
What is the largest n supported?
Factorials are computed up to n = 1000 using arbitrary-precision integers.
When is C(n,r) zero?
If r is greater than n, combinations are undefined and the tool reports an error.
How is C(n,r) calculated?
It uses a multiplicative formula without computing full factorials, which stays efficient for larger n.
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