14! = 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
14! = 87,178,291,200
Calculate (n - r)!:
(n - r)! = (14 - 4)!
(14 - 4)! = 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 r!:
r! = 4!
4! = 4 x 3 x 2 x 1
4! = 24
Calculate 14C4
14C4 =
87,178,291,200
24 x 3,628,800
14C4 =
87,178,291,200
87,091,200
14C4 = 1,001
You have 2 free calculationss remaining
Excel or Google Sheets formula:
Excel or Google Sheets formula:=COMBIN(14,4)
What is the Answer?
14C4 = 1,001
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