Permutation Calculator
Calculate the number of permutations (nPr) for your probability and combinatorics needs.
Understand permutations with this tool. Enter the total number of items (n) and the number of items to choose (r) to calculate the permutations.
Result:
Visualizing Permutations
Total Items (n)
Items Chosen (r)
Permutations
This visualization shows how permutations are calculated by arranging items chosen from a set of items.
Understanding Permutations
In mathematics, a permutation is the arrangement of objects in a specific order. The order of arrangement matters in permutations. The formula for permutations, denoted as P(n, r) or nPr, calculates the number of possible arrangements of 'r' items chosen from a set of 'n' distinct items.
The formula is given by: $$P(n, r) = \frac{n!}{(n-r)!}$$ where 'n!' (n factorial) is the product of all positive integers up to n.
Use this calculator to quickly find the number of permutations for various values of 'n' and 'r'. Simply input the total number of items and the number of items you wish to arrange to get instant results.