Loading…

How to use Permutation & Combination Calculator

Enter the total n and the number chosen r, and the calculator returns both the permutations (nPr) and combinations (nCr).

Frequently asked questions

What is the difference between nPr and nCr?

Permutations (nPr) count ordered arrangements; combinations (nCr) count selections where order does not matter.

What are the formulas?

nPr = n! / (n−r)! and nCr = n! / (r!(n−r)!), where n is the total and r the number chosen.

How does it stay accurate for large numbers?

It multiplies iteratively rather than computing huge factorials directly, avoiding overflow for large n.

More Math Calculators

Z-Score Calculator
Standard score z=(x−μ)/σ with an approximate normal-distribution percentile.
Number Base Converter
Convert bases 2,8,10,16 and custom.
Complex Number Calculator
Add/subtract/multiply/divide complex numbers.
Matrix Calculator
2x2/3x3 add, multiply, determinant, inverse, transpose.
Sequence Calculator
Nth term and sum for arithmetic/geometric.
Advanced Percentage Calculator
Comprehensive percentage operations.
Ratio Simplifier
Simplify and generate equivalent ratios.
Advanced Fraction Calculator
Fraction operations with steps.
Roman Numeral Converter
Convert numbers to Roman numerals and Roman numerals back to numbers (1–3999).
Percentage Change Calculator
Percent increase or decrease between an old and new value, with absolute difference.
Decimal to Fraction Converter
Convert terminating or repeating decimals to a simplified fraction, mixed number, and GCD.
Area Calculator
Area for 10 common shapes with formula and diagram.

← View all Math CalculatorsBrowse all 1,100+ tools →