Question

How do you evaluate `(12!)/(8!4!)`?

Answer 1

`color(blue)(495)`

Explanation:

`(12!)/(8!4!)=(12xx11xx10xx9xx8!)/(8!xx4xx3xx2xx1....)`

`=(12xx11xx10xx9xx8!)/(8!xx12xx2xx1....)`

`=(cancel(12)xx11xx10xx9xxcancel(8!))/(cancel(8!)xxcancel(12)xx2xx1....)=(11xx10xx9)/(2)=990/2=495`