Permutation Calculator
Permutation Calculator lets you ordered selections equal n! / (n−r)!. Enter your own values or load the worked example.
- Copy or download the computed result
- Adjust total items
- See the processing method and limits
Method and calculation
Ordered selections equal n! / (n−r)!.
Inputs and settings
Permutation Calculator accepts Total items (minimum 0, maximum 1000); Items selected (minimum 0, maximum 1000).
Worked example
Permutation Calculator example — Total items: 10; Items selected: 3. Computed output: { "permutations": "720" }
Output and limitations
Order matters when assigning a president, secretary and treasurer from a group. Selecting the same people for different offices counts as different arrangements. Repetition is not allowed, and exact integer arithmetic retains large factorial results without floating-point rounding.
Technical references: JavaScript numerical operations
Permutation Calculator FAQs
Permutation Calculator applies the following rule to your input: Ordered selections equal n! / (n−r)!. The worked example on this page uses the same processor as the result button.
Permutation Calculator has these boundaries: Use finite inputs. Results use double-precision arithmetic. Start by checking the total items field against the units or format shown.
Permutation Calculator provides this sample: { "permutations": "720" }. Use the sample button to reproduce it, then replace the inputs with your own values.