SOLUTION: Spelling Bee Five finalists remains in a high school spelling bee. Two will receive $50 each two will receive $100 each and one will receive $500. How many different arrangements o

Question 976201: Spelling Bee Five finalists remains in a high school spelling bee. Two will receive $50 each two will receive $100 each and one will receive $500. How many different arrangements of prizes are possible?
Only 1 right?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

No, because there are 5 ways to choose who gets the large prize, then there are 4 ways to choose who gets the first $100 prize, then 3 ways to choose who gets the second $100 prize, then 2 ways to choose who gets the first $50 prize, and finally 1 way to choose who gets the last $50 prize (so 5 times 4 times 3 times 2 times 1), all divided by 2 ways to arrange 2 $100 prizes times 2 ways to arrange 2 $50 prizes.

John

My calculator said it, I believe it, that settles it

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