Evaluate the combination:
8C7
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 = 8 and r = 7
| 8C7 2 | 8! |
| 7!(8 - 7)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate the numerator n!:
n! = 8!
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
8! = 40,320
Calculate (n - r)!:
(n - r)! = (8 - 7)!
(8 - 7)! = 1!
1! = 1
1! = 1
Calculate r!:
r! = 7!
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
7! = 5,040
Calculate 8C7
| 8C7 = | 40,320 |
| 5,040 x 1 |
| 8C7 = | 40,320 |
| 5,040 |
Final Answer
8C7 = 8
