Evaluate the combination:
4C3
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 = 4 and r = 3
| 4C3 2 | 4! |
| 3!(4 - 3)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate the numerator n!:
n! = 4!
4! = 4 x 3 x 2 x 1
4! = 24
Calculate (n - r)!:
(n - r)! = (4 - 3)!
(4 - 3)! = 1!
1! = 1
1! = 1
Calculate r!:
r! = 3!
3! = 3 x 2 x 1
3! = 6
Calculate 4C3
| 4C3 = | 24 |
| 6 x 1 |
| 4C3 = | 24 |
| 6 |
Final Answer
4C3 = 4
