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,$250,and $100,respectively. In how many ways can the awards be given out.
For the top eight, how many choices are there for the top?
How many are left for the second?
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How many choices are there for the last?
Use the multiplication rule to calculate the total number of ways for the top eight list.
The award list can be similarly calculated, except the last choice stops at the fourth.