Evaluate the combination:
12C3
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
12C3 2 | 12! |
3!(12 - 3)! |
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
n! = 12!
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
(n - r)! = (12 - 3)!
(12 - 3)! = 9!
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
9! = 362,880
r! = 3!
3! = 3 x 2 x 1
3! = 6
12C3 = | 479,001,600 |
6 x 362,880 |
12C3 = | 479,001,600 |
2,177,280 |
12C3 = 220
12C3 = 220
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.
For more math formulas, check out our Formula Dossier
Add This Calculator To Your Website
ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfpbKzudStmK2hn6N7sbTPeKWupW1mf2ewxKd0bF6goYqEu8yboKeZpJ68r78%3D