Answer
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7C6 = 7
↓Steps Explained:↓
Evaluate the combination:
7C6
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 = 7 and r = 6
| 7C6 2 | 7! |
| 6!(7 - 6)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate the numerator n!:
n! = 7!
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
7! = 5,040
Calculate (n - r)!:
(n - r)! = (7 - 6)!
(7 - 6)! = 1!
1! = 1
1! = 1
Calculate r!:
r! = 6!
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 720
Calculate 7C6
| 7C6 = | 5,040 |
| 720 x 1 |
| 7C6 = | 5,040 |
| 720 |
Final Answer
7C6 = 7Related Calculators: Factorials | Multiplication Property Of Inequality | Multiplication Array