What is the difference between permutations and combinations?

Permutations count arrangements where order matters, while combinations count selections where order does not matter.

Can I calculate permutations with repetition allowed?

The standard formula n! / (n - r)! assumes items are distinct and order matters without repetition. Some calculators offer a separate mode for repetitions.

What does nPr mean in the formula?

nPr represents the number of ways to arrange r items from a total of n distinct items, where order is important.

Why does the calculator ask for total items and items to arrange?

The formula divides the total factorial by the factorial of the remaining items to count only the ordered subsets of the specified size.

Is the result always a whole number?

Yes, because the permutation formula counts discrete arrangements of distinct items, the output is always an integer.

Statistics2 options compared

Permutation Calculator

Calculates permutations in a set by determining the number of ways elements can be arranged. Enter the total number of items and the number to arrange, then click calculate to get the result. Useful for students, researchers, and anyone needing to understand or calculate permutations in probability, statistics, and combinatorics.

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Number Convert

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Calculate permutations (nPr) to find the number of ordered arrangements. Free online calculator for probability and s...

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Omni Calculator
omnicalculator.com
Use the permutation calculator to determine the number of permutations in a set.
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Permutation Calculator options compared

Tool	Best for	Strengths	Limitations
Number Convert numberconvert.com	Quick nPr calculations without ads	No ads on the page Straightforward input fields	Fewer explanatory features Basic interface
Omni Calculator omnicalculator.com	Detailed explanations and related calculators	Educational context Links to 38 similar calculators	Ads on the page Heavier UI with many options

Buyer's guide

How to choose a permutation calculator

When you just need the numeric result fast, pick the tool with the simpler interface and no ads. If you are learning the concept or want to explore related calculations, the tool with more explanatory text and linked calculators is worth the extra clicks.

Questions

Permutation Calculator FAQ

What is the difference between permutations and combinations?: Permutations count arrangements where order matters, while combinations count selections where order does not matter.
Can I calculate permutations with repetition allowed?: The standard formula n! / (n - r)! assumes items are distinct and order matters without repetition. Some calculators offer a separate mode for repetitions.
What does nPr mean in the formula?: nPr represents the number of ways to arrange r items from a total of n distinct items, where order is important.
Why does the calculator ask for total items and items to arrange?: The formula divides the total factorial by the factorial of the remaining items to count only the ordered subsets of the specified size.
Is the result always a whole number?: Yes, because the permutation formula counts discrete arrangements of distinct items, the output is always an integer.

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