6 Combinations Of 3 - Math Celebrity

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Answer
Success!6C3 = 20

↓Steps Explained:↓

Evaluate the combination:

6C3

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 = 6 and r = 3

6C3 2 6!
3!(6 - 3)!

Factorial Formula:

n! = n * (n - 1) * (n - 2) * .... * 2 * 1

Calculate the numerator n!:

n! = 6!

6! = 6 x 5 x 4 x 3 x 2 x 1

6! = 720

Calculate (n - r)!:

(n - r)! = (6 - 3)!

(6 - 3)! = 3!

3! = 3 x 2 x 1

3! = 6

Calculate r!:

r! = 3!

3! = 3 x 2 x 1

3! = 6

Calculate 6C3

6C3 = 720
6 x 6
6C3 = 720
36

Final Answer

6C3 = 20Take the Quiz Switch to Chat ModeRelated Calculators: Multiplication Property Of Inequality |

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