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Permutations Calculator | Math Tool
Calculate permutations easily with our online tool. Understand permutations, learn the formula, and visualize the arrangements. Perfect for students and professionals.
Enter Values
Result
Number of Permutations:
Calculation Steps
Permutations Visualization
Visual representation of arranging items out of .
Total Items
Items to Choose
What are Permutations?
In mathematics, a permutation is an arrangement of objects in a specific order. The order of arrangement matters in permutations. For example, if you have letters ABC, the permutations of choosing 2 letters are AB, BA, AC, CA, BC, CB.
The formula for permutations of choosing 'r' items from a set of 'n' items is given by:
$$P(n, r) = rac{n!}{(n-r)!}$$
- n is the total number of items in the set.
- r is the number of items to choose for the arrangement.
- ! denotes factorial, which is the product of all positive integers up to that number.
Use this calculator to easily find the number of permutations for your specific values of 'n' and 'r'.