Question: In a race with 30 runners where 5 trophies will be given to the top 7 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) 7^5 ways\n(D) 8^7 ways\n(E) 8^6 ways Let's think first. Some random reasoning:
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7 people can be prized with 5 distinct prizes in 7^5 ways The final answer: (C).
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