Permutation & Combination Calculator
Calculate permutations (nPr) and combinations (nCr) instantly. Use our free calculator for probability, statistics, mathematics, competitive exams, and data analysis.
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
Verified answers to essential calculation and diagnostic questions.
Permutation is an arrangement of objects where order matters.
Combination is a selection of objects where order does not matter.
nPr calculates the number of possible arrangements.
nCr calculates the number of possible selections.
They are widely used in probability, statistics, mathematics, exams, and data science.
Written & maintained by Aditya Singh
Aditya Singh is a software engineer and the founder of DevCalc, based in Uttar Pradesh, India. He builds and maintains every calculator on this site, using standard, verified formulas — the same ones used by banks, institutions, and educators — with careful attention to accuracy. Read more about the author →