13 Permutations of 3 ·

23 Jun 2024, 00:00

Evaluate the following permutation

13P3

Permutation Definition:

An order or arrangement

Permutation Formula:

nPr =	n!
	(n - r)!

where n is the number of items
r is the number of arrangements.

Plug in n = 13 and r = 3

13P3 2	13!
	(13 - 3)!

Factorial Formula:

n! = n * (n - 1) * (n - 2) * .... * 2 * 1

Calculate n!:

n! = 13!

13! = 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

13! = 6,227,020,800

Calculate (n - r)!:

(n - r)! = (13 - 3)!

(13 - 3)! = 10!

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

10! = 3,628,800

Calculate 13P3:

13P3 =	6,227,020,800
	3,628,800

13P3 = 1,716

Excel or Google Sheets formula:

=PERMUT(13,3)

What is the Answer?

13P3 = 1,716

How does the Permutations and Combinations Calculator work?

Free Permutations and Combinations Calculator - Calculates the following:
Number of permutation(s) of n items arranged in r ways = nPr
Number of combination(s) of n items arranged in r unique ways = nCr including subsets of sets
This calculator has 2 inputs.

What 2 formulas are used for the Permutations and Combinations Calculator?

nPr=n!/r!
nCr=n!/r!(n-r)!

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Permutations and Combinations Calculator?

combinationa mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
nPr = n!/r!(n - r)!factorialThe product of an integer and all the integers below itpermutationa way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!permutations and combinations

13 Permutations of 3

Evaluate the following permutation 13P3 An order or arrangement where n is the number of itemsr is the number of arrangements. n! = n * (n - 1) * (n - 2) * .... * 2 * 1 n! = 13! 13! = 13 x 12 x 11 x 10 x 9 x 8 x