There are 16 competitors in the MATHCOUNTS Trainer competition, including 3 from Vienna. The gold medal goes to first place, silver to second, and bronze to third. Suppose that the AoPS powers-that-be decide that exactly one student from Vienna must win a medal (no more and no less). Now how many ways are there to award the medals

Question

06-05-2022
Mathematics

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There are 16 competitors in the MATHCOUNTS Trainer competition, including 3 from Vienna. The gold medal goes to first place, silver to second, and bronze to third. Suppose that the AoPS powers-that-be decide that exactly one student from Vienna must win a medal (no more and no less). Now how many ways are there to award the medals

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