26! = 26 x 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
26! = 403,291,461,126,605,650,322,784,256
Calculate (n - r)!:
(n - r)! = (26 - 4)!
(26 - 4)! = 22!
22! = 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
22! = 1,124,000,727,777,607,680,000
Calculate r!:
r! = 4!
4! = 4 x 3 x 2 x 1
4! = 24
Calculate 26C4
26C4 =
403,291,461,126,605,650,322,784,256
24 x 1,124,000,727,777,607,680,000
26C4 =
403,291,461,126,605,650,322,784,256
26,976,017,466,662,584,320,000
26C4 = 14,950
You have 2 free calculationss remaining
Excel or Google Sheets formula:
Excel or Google Sheets formula:=COMBIN(26,4)
What is the Answer?
26C4 = 14,950
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?
What 4 concepts are covered in the Permutations and Combinations Calculator?
combination
a 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)!
factorial
The product of an integer and all the integers below it
permutation
a way in which a set or number of things can be ordered or arranged. nPr = n!/(n - r)!
permutations and combinations
Example calculations for the Permutations and Combinations Calculator