Question

You are considering 10 different colleges. Before you decide to apply to the colleges, you want to visit some or all of them. In how many orders can you visit

1. 6 of the colleges; and
2. All 10 colleges

Answer 1

1. 720 ways, or 6! ways

2. 3628800 ways, or 10! ways

Explanation:

For this problem, you have to understand something called factorials.

Factorials are written in form x!, and you multiply x by the number less than x, and then 1 less than that, etc. until you get to 0.

Form: x
`*\\` (x-1) x (x-2) . . . x 2 x 1.

1) For 6 colleges, you can visit them 6! ways, or 720 ways.

2 )For all 10, you can visit them in 10! ways, or 3628800 ways.