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 - 5)!
(13 - 5)! = 8!
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
8! = 40,320
Calculate r!:
r! = 5!
5! = 5 x 4 x 3 x 2 x 1
5! = 120
Calculate 13C5
13C5 =
6,227,020,800
120 x 40,320
13C5 =
6,227,020,800
4,838,400
13C5 = 1,287
You have 2 free calculationss remaining
Excel or Google Sheets formula:
Excel or Google Sheets formula:=COMBIN(13,5)
What is the Answer?
13C5 = 1,287
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