Permutation

Permutation Calculator -- nPr

Calculate P(n, r) = n!/(n-r)! -- the number of ordered arrangements of r items from a set of n.

permutationnPrarrangement+1

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Combination

Combination Calculator -- nCr

Calculate C(n, r) = n!/(r!(n-r)!) -- the number of unordered subsets of size r from a set of n.

combinationnCrselection+1

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BinomialCoefficient

Binomial Coefficient Calculator -- n Choose k

Compute the binomial coefficient C(n,k) and explore Pascal\'s triangle row n.

binomialcoefficientn choose k+1

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PascalTriangle

Pascal\'s Triangle Generator

Generate and explore Pascal\'s triangle up to row n, with connection to C(n,k).

pascaltrianglegenerator+1

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Factorial

Factorial Calculator -- n!

Compute n! exactly for any n up to 10,000 using BigInt, with digit count and Stirling approximation.

factorialn!big number

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StarsAndBars

Stars and Bars Calculator -- Combinations with Repetition

Calculate C(n+r-1, r) -- the number of ways to choose r items from n types when repetition is allowed.

stars and barsrepetitionmultiset

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