Question

What is the number of ways to arrange 8 objects from a set of 12 different objects?

Answer 1

`19958400`

Explanation:

Since the arrangement of the `8` chosen items is significant, then the number of ways is:

`12 xx 11 xx 10 xx ... xx 5 = (12!)/(4!) = 19958400`

There are `12` ways to choose the first item, `11` to choose the next, `10` to choose the next, down to `5` choices for the eighth item.