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Permutations Calculator

🎲 Statistics & probability. Use the Permutations formula to find permutations, n, r: pick the value you want, type the others, and the answer updates as you go.

nPr=n!(n−r)!^{n}P_{r} = \dfrac{n!}{(n - r)!}
Permutations720

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Permutationsno unit
nno unit
rno unit

Worked example

Find the permutations when n = 10, r = 3.

Using ⁿPr = n!/((n - r)!): Permutations = 720.

Frequently asked questions

What is the formula for Permutations?

ⁿPr = n!/((n - r)!).

What do the letters stand for, and what units are used?

Permutations, n, r.

How do you calculate permutations?

Put the values into ⁿPr = n!/((n - r)!). For example, with n = 10, r = 3, permutations = 720.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (permutations, n, r) and fill in the others: it rearranges the formula for you.

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