Download your PDF
Permutations 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
Permutations Calculator — result sheet
Count ordered arrangements of r distinct items chosen from n.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P(n,r) = n! / (n-r)!.
Order matters: first-second differs from second-first. Exact integer multiplication is used, and counts above the safe integer limit are rejected rather than rounded.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Available items (n) — minimum 0; maximum 1000
- Items arranged (r) — Cannot exceed n. Results must fit the safe integer limit.; minimum 0; maximum 1000
Worked example
| Input | Value |
|---|---|
| Available items (n) | 10 |
| Items arranged (r) | 3 |
720
Assumptions and limits
- Items distinct, chosen without replacement, order significant.
- 0 <= r <= n <= 1000, both integers.
- P(n,0) = 1, including P(0,0).
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.