Posted by **Jen** on Friday, July 29, 2011 at 6:32pm.

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?

I think the first question is 8 different ways because they will be ranked on a list of 8.

I think the second question is 8*8*8=512 ways the awards can be given out.....but im not sure if i did this right, please help!

- Math -
**Damon**, Friday, July 29, 2011 at 6:44pm
say we have 8 bands numbered 1 through 8

chance that band 1 is top = 1/8

then chance that band 2 is second = 1/7

then chance that band 3 is third = 1/6

etc

so I claim

8! ways (big number, you compute :)

Now how many permutations of 8 taken 3 at a time (permutations not combinations because the order of prizes counts within each group of three) ?

n!/(n-r)! = 8!/(8-3)! = 8!/5! = 8*7*6

= 336

- Math -
**Jen**, Friday, July 29, 2011 at 6:49pm
oh okay i get it...

## Answer This Question

## Related Questions

- MATH - In how many different ways can the top eight new indie bands be ranked on...
- geometry - In how many different ways can the top eight new indie bands be ...
- Math - Jessica has been given a list of 4 bands and asked to place a vote. Her ...
- Science - Chromatography - I performed a TLC of plant pigments in my lab class ...
- Math Ratios - Julian, Majid and Pillay had the same number of rubber bands. ...
- physics - A slingshot consists of a light leather cup attached between two ...
- English - What is best way to combine the two sentences? Some bands wear ...
- Calculus - The position vector for a proton is initially r(with vector sign ...
- Physics - what is the physics theories behind putting 500 rubber bands on a ...
- physics - A slingshot consists of a light leather cup attached between two ...

More Related Questions