Math

posted by .

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 -

    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 -

    oh okay i get it...

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Science - Chromatography

    I performed a TLC of plant pigments in my lab class with a solvent of petroleum ether/ acetone (7:3) and used a silica gel plate. It is expected that the most polar pigments (chlorophyll) will be located near the bottom and the carotenoids …
  2. physics

    A slingshot consists of a light leather cup attached between two rubber bands. It takes a force of 32 N to stretch the bands 1.1 cm. a) What is the equivalent spring constant of the rubber bands?
  3. MATH

    In how many different ways can the top eight new indie bands be ranked on a top eight list?
  4. geometry

    In how many different ways can the top eight new indie bands be ranked on a top eight list?
  5. Math Ratios

    Julian, Majid and Pillay had the same number of rubber bands. During a game, Julian lost 12 rubber bands to Pillay and Majid lost 20 rubber bands to Pillay. The ratio of Julian's rubber bands to Majid's rubber bands became 4:3. How …
  6. English

    What is best way to combine the two sentences?
  7. Calculus

    The position vector for a proton is initially r(with vector sign above it) =5.0i(with top)- 6.0j(with top) + 2.0k(with top) and then later is r vector = -2.0i(with top)+6.0j(with top)+ 2.0k (with top), all in meters. What is the proton's …
  8. Math

    Jessica has been given a list of 4 bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different votes are possible?
  9. Math

    If the ratio of red hair bands to green hair bands is 5 to 9 with a total of 70 hair bands, how many of them are green?
  10. Algebra

    Ali has been given a list of 6 bands and asked to place a vote. His vote must have the names of his favorite and second favorite bands from the list. How many different votes are possible?

More Similar Questions