🎓 Mathematics • Probability
100% Client-Side Privacy
Permutation Calculator (nPr)
Computes permutations P(n, r) = n! / (n - r)! where the order of selected elements matters.
Studio-Grade Mathematical Suite
Math & Statistics Calculator
High-precision percentage, fraction arithmetic, ratio scaling, dataset averages, statistical variance, and combinatorics.
Common Scenarios:
Permutations nPr (Order Matters)
720
Combinations nCr (Order Does Not Matter)
120
Formulas:
What is a Permutation?
A permutation is an arrangement of objects in a specific order. The order of selection matters (e.g. 1st, 2nd, 3rd place).
Formula & Step-by-Step Calculation
nPr = P(n, r) = n! / (n - r)!
Factorial permutation formula.
Worked Step-by-Step Examples
Example 1
Awarding 1st, 2nd, 3rd place from 8 runners
Solution: 336
• 8P3 = 8! / 5! = 8 × 7 × 6 = 336
Common Real-World & Academic Use Cases
- ✓ Password permutation security
- ✓ Race finish podium rankings
- ✓ Seating chart arrangements
How to Use the Permutation Calculator (nPr)
1
Enter n & r
Input total items n and chosen items r.
2
Read Permutations
View exact integer permutations and factorials.
Frequently Asked Questions
Q: What is 0! (zero factorial)?
By definition in combinatorics, 0! = 1.