Permutation & Combination Calculator
Calculate permutations (nPr) and combinations (nCr) instantly. Use our free calculator for probability, statistics, mathematics, competitive exams, and data analysis.
Use our free online permutation & combination calculator to get accurate results instantly. The calculator is designed to be fast, easy to use, mobile-friendly, and suitable for everyday calculations.
Permutation & Combination Calculator
Calculate nPr, nCr, factorial values, and solve probability and combinatorics problems instantly.
How the Permutation & Combination Calculator Works
Step 1
Enter Total Items (n)
Enter the total number of available items.
Step 2
Enter Selected Items (r)
Enter how many items are chosen.
Step 3
Calculate nPr and nCr
The calculator applies permutation and combination formulas.
Step 4
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
What is permutation?
Permutation is an arrangement of objects where order matters.
What is combination?
Combination is a selection of objects where order does not matter.
What is nPr?
nPr calculates the number of possible arrangements.
What is nCr?
nCr calculates the number of possible selections.
Where are permutations and combinations used?
They are widely used in probability, statistics, mathematics, exams, and data science.
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