In a race with 30 runners where 8 trophies will be given to the top 8 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\nOptions:\n(A) 8^8 ways\n(B) 8^9 ways\n(C) 7^8 ways\n(D) 8^7 ways\n(E) 8^6 ways OK. Let's think. Some random thoughts first:
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8 people can be prized with 8 distinct prizes in 8^8 ways The answer: (A).
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