Evaluate the combination:
6C3
Combination Definition:
A unique order or arrangement
Combination Formula:
| nCr = | n! |
| r!(n - r)! |
where n is the number of items
r is the unique arrangements.
Plug in n = 6 and r = 3
| 6C3 2 | 6! |
| 3!(6 - 3)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate the numerator n!:
n! = 6!
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 720
Calculate (n - r)!:
(n - r)! = (6 - 3)!
(6 - 3)! = 3!
3! = 3 x 2 x 1
3! = 6
Calculate r!:
r! = 3!
3! = 3 x 2 x 1
3! = 6
Calculate 6C3
| 6C3 = | 720 |
| 6 x 6 |
| 6C3 = | 720 |
| 36 |
Final Answer
6C3 = 20
