25 Permutations of 4 ·

06 Jun 2024, 00:00

25 Permutations of 4 Image to Crop

Evaluate the following permutation

25P4

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 = 25 and r = 4

25P4 2	25!
	(25 - 4)!

Factorial Formula:

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

Calculate n!:

n! = 25!

25! = 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 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

25! = 15,511,210,043,330,986,055,303,168

Calculate (n - r)!:

(n - r)! = (25 - 4)!

(25 - 4)! = 21!

21! = 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 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

21! = 51,090,942,171,709,440,000

Calculate 25P4:

25P4 =	15,511,210,043,330,986,055,303,168
	51,090,942,171,709,440,000

25P4 = 303,600

You have 1 free calculations remaining

Excel or Google Sheets formula:

Excel or Google Sheets formula:=PERMUT(25,4)

What is the Answer?

25P4 = 303,600

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

25 Permutations of 4

Evaluate the following permutation 25P4 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! = 25! 25! = 25 x 24 x 23 x 22 x 21 x 20 x