Permutation & Combination Calculator
Calculate permutations (nPr) and combinations (nCr) instantly. Use our free calculator for probability, statistics, mathematics, competitive exams, and data analysis.
This calculator is useful in several situations, including Probability, Statistics, Competitive Exams, Mathematics, Data Analysis, Research, Combinatorics, and Education. In each case, it applies the correct formula automatically so you get a precise result without manual calculation.
Calculate nPr, nCr, factorial values, and solve probability and combinatorics problems instantly.
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How the Permutation & Combination Calculator Works
Follow these simple steps to get accurate results instantly.
Enter Total Items (n)
Enter the total number of available items.
Enter Selected Items (r)
Enter how many items are chosen.
Calculate nPr and nCr
The calculator applies permutation and combination formulas.
View Results
See permutation, combination, and factorial values.
Permutation & Combination Formula
nPr = n! / (n-r)! , nCr = n! / [r!(n-r)!]
Permutation calculates arrangements where order matters, while combination calculates selections where order does not matter.
Example Calculation
Input: n = 5, r = 2
Output: nPr = 20, nCr = 10
Common Uses
- • Probability
- • Statistics
- • Competitive Exams
- • Mathematics
- • Data Analysis
- • Research
- • Combinatorics
- • Education
Frequently Asked Questions
Find answers to common questions about this calculator.