Question 601474: 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? Show all work.
Can you explain why it should be a permutation instead of combination?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Can you explain why it should be a permutation instead of combination?
# of permutations is the number of ways items can be put in order.
# of combinations is the number of groups of items of a certain size.
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In how many different ways can the top eight new indie bands be ranked on a top eight list?
Ranking is putting the songs in some order.
Ans: 8! = 40320
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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? Show all work.
1st prize 8 ways
2nd prize 7 ways
3rd prize 6 ways
4th prize 5 ways
Ans: 8P4 = 8!/(8-4)! = 8*7*6*5 = 1680
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Cheers,
Stan H.
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