Question

In how many different ways can the top eight new indie bands be ranked on a top eight list? The top hit song for each of the eight bands will compete to receive monetary awards of $1000, $500 and $250, respectively. In how many ways can the awards be given out?

Answer 1

this is two separate problems right?

Answer 2

use the "counting principle" for both,
8 choices for the first place
7 for second
6 for third
5 for fourth
...
counting principle says multiply this together, get \(8!\)