Answer
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5C3 = 10
↓Steps Explained:↓
Evaluate the combination:
5C3
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 = 5 and r = 3
| 5C3 2 | 5! |
| 3!(5 - 3)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate the numerator n!:
n! = 5!
5! = 5 x 4 x 3 x 2 x 1
5! = 120
Calculate (n - r)!:
(n - r)! = (5 - 3)!
(5 - 3)! = 2!
2! = 2 x 1
2! = 2
Calculate r!:
r! = 3!
3! = 3 x 2 x 1
3! = 6
Calculate 5C3
| 5C3 = | 120 |
| 6 x 2 |
| 5C3 = | 120 |
| 12 |
Final Answer
5C3 = 10Related Calculators: Factorials | Multiplication Property Of Inequality | Multiplication Array