simplify (12!)/(2!(12-2)!) — step-by-step solution

Let's reduce:

\frac{12!}{2! \times (12 - 2)!}

ⓘ The factorial of a number is the product of all the integers from 1 to that number:

12!

479,001,600

2!

2

■Start from

12

and move back

2

on the number line:

12 - 2

10

\frac{479,001,600}{2 \times 10!}

ⓘ The factorial of a number is the product of all the integers from 1 to that number:

10!

3,628,800

\frac{479,001,600}{2 \times 3,628,800}

ⅰ

2 \times 3,628,800

7,257,600

\frac{479,001,600}{7,257,600}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

7,257,600

, their greatest common divisor:

\frac{479,001,600}{7,257,600}

66

▶Simplified form:

66