12 Combinations Of 4 - Math Celebrity

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Answer
Success!12C4 = 495

↓Steps Explained:↓

Evaluate the combination:

12C4

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 = 4

12C4 2 12!
4!(12 - 4)!

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 - 4)!

(12 - 4)! = 8!

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

8! = 40,320

Calculate r!:

r! = 4!

4! = 4 x 3 x 2 x 1

4! = 24

Calculate 12C4

12C4 = 479,001,600
24 x 40,320
12C4 = 479,001,600
967,680

Final Answer

12C4 = 495Take the Quiz Switch to Chat ModeRelated Calculators: Boolean Algebra Multiplication |

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