5 Combinations Of 2 - Math Celebrity

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Answer
Success!5C2 = 10

↓Steps Explained:↓

Evaluate the combination:

5C2

Combination Definition:

A unique order or arrangement

Combination Formula:

nCr = n!
r!(n - r)!

where n is the number of itemsr is the unique arrangements.

Plug in n = 5 and r = 2

5C2 2 5!
2!(5 - 2)!

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 - 2)!

(5 - 2)! = 3!

3! = 3 x 2 x 1

3! = 6

Calculate r!:

r! = 2!

2! = 2 x 1

2! = 2

Calculate 5C2

5C2 = 120
2 x 6
5C2 = 120
12

Final Answer

5C2 = 10Take the Quiz Switch to Chat ModeRelated Calculators: Multiplication Property Of Inequality |

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