Permutations · nPr
Calculate permutations · npr and see the working behind your result.
Inputs
Use the units shown—
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Formula & explanation
nPr = n!/(n−r)!
Variables & units
- Number of objects · n
- Numeric value · minimum 0, maximum 18
- Number of positions · r
- Numeric value · minimum 0, maximum 18
Worked example
Filling 3 ordered positions from 10 objects gives 720 arrangements.
Assumptions
Order matters. The maximum n is 18 to retain exact safe integer results.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
Practice with an example
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