Download your Word document
Permutation Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Permutation Calculator — result sheet
Count ordered selections of r distinct items from n available items without repetition.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P(n,r) = n!/(n-r)! = n(n-1)…(n-r+1).
A permutation treats different orders as different outcomes. For example, ABC and BAC are separate arrangements when the three items occupy ordered positions.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Available items n — minimum 0; maximum 170
- Positions filled r — minimum 0; maximum 170
Worked example
| Input | Value |
|---|---|
| Available items n | 10 |
| Positions filled r | 3 |
There are 720 ordered selections of 3 from 10 items.
Assumptions and limits
- Items are distinct, order matters, and no item is reused.
- r is a whole number from zero through n; the result is exact within the supported range.
- The count is combinatorial and does not by itself describe a random probability.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.