Permutations Calculator (nPr)

Calculate the number of permutations of \( n \) objects taken \( r \) at a time. Each calculation shows detailed step-by-step solutions with factorial expansions.

Permutation Formula
\[ nPr = P(n, r) = \frac{n!}{(n-r)!} \]
Where \( n! = n \times (n-1) \times (n-2) \times \cdots \times 1 \) (factorial)
Order matters in permutations — different arrangements count separately.

Permutations Calculator: nPr

Enter positive integers n and r (with n ≥ r)
Enter values
Example: 5
Example: 3
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Step-by-step solution will appear here

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