Permutations Calculator

If you're looking to find the number of ways you can arrange a set of objects in a certain order, you're looking for permutations. Permutations are an important concept in combinatorics and can be used to solve a variety of problems.

 Set/Population Subset/Sample
 PR(n,r)

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

Formula for Permutations

The formula for permutations is:

P(n, r) = n!/(n-r)!

where:

• n is the total number of objects
• r is the number of objects to be arranged
• n! is the factorial of n (i.e. n × (n - 1) × (n - 2) × ... × 1)

Example of Permutations in Real Life

Permutations are used in a variety of fields, including computer science, statistics, and physics. For example, in computer science, permutations are used to determine the number of possible passwords that can be created using a set of characters. In statistics, permutations are used to calculate the number of ways a sample can be drawn from a population. In physics, permutations are used to calculate the number of possible energy levels that an atom can have.

Using our Permutations Calculator

Using our Permutations Calculator is easy. Simply enter the total number of objects and the number of objects to be arranged, and the calculator will do the rest.

For example, if you have a set of 5 books and you want to know how many ways you can arrange them on a bookshelf, you would enter "5" as the total number of objects and "5" as the number of objects to be arranged (since you're arranging all 5 books).

The calculator will then give you the total number of permutations, which represents the number of ways you can arrange the books.

Try using our Permutations Calculator to solve your own problems!

Math Calculators

You may also find the following Math calculators useful.