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

12! = 479,001,600

Calculate (n - r)!:

(n - r)! = (12 - 4)!

(12 - 4)! = 8!

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

8! = 40,320

Calculate r!:

r! = 4!

4! = 4 x 3 x 2 x 1

4! = 24

Calculate _{12}C_{4}

_{12}C_{4} =

479,001,600

24 x 40,320

_{12}C_{4} =

479,001,600

967,680

_{12}C_{4} = 495

You have 2 free calculationss remaining

Excel or Google Sheets formula:

Excel or Google Sheets formula:=COMBIN(12,4)

What is the Answer?

_{12}C_{4} = 495

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 = _{n}P_{r} Number of combination(s) of n items arranged in r unique ways = _{n}C_{r} 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 _{n}P_{r} = 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. _{n}P_{r} = n!/(n - r)!

permutations and combinations

Example calculations for the Permutations and Combinations Calculator