mathematics Verified Precision Tool
Permutation Calculator
Calculate nPr permutations where item order matters.
Calculation Solution
100P150 = 0
Permutations (Order Matters)
Mathematical Formula
nPr = n! / (n - r)!
Overview & Explanation
A permutation is an arrangement of items where the order of selection strictly matters.
How It Works
- Compute n factorial divided by (n - r) factorial.
Practical Applications
- Combination lock pin codes.
- Race finishing positions (1st, 2nd, 3rd).
Worked Example: 5P3
Arrange 3 items out of 5.
1
Apply Formula 5! / (5-3)!
120 / 2
= 60
Frequently Asked Questions
What is the key difference between permutations and combinations?
In permutations order matters; in combinations order does not matter.
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