12 Combinations Of 2 - Math Celebrity

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Answer
Success!12C2 = 66

↓Steps Explained:↓

Evaluate the combination:

12C2

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 = 12 and r = 2

12C2 2 12!
2!(12 - 2)!

Factorial Formula:

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

Calculate the numerator n!:

n! = 12!

12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

12! = 479,001,600

Calculate (n - r)!:

(n - r)! = (12 - 2)!

(12 - 2)! = 10!

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

10! = 3,628,800

Calculate r!:

r! = 2!

2! = 2 x 1

2! = 2

Calculate 12C2

12C2 = 479,001,600
2 x 3,628,800
12C2 = 479,001,600
7,257,600

Final Answer

12C2 = 66Take the Quiz Switch to Chat ModeRelated Calculators: Multiplication Property Of Inequality |

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