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Question: you are assisting the planners of a special olympics event...

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You are assisting the planners of a “Special Olympics” event involving 7 participants. There will be three prize winners: 3rd place receives a bronze medal, 2nd place silver, and 1st place gold. The “medals” will contain the engraved name of the winner. Each “medal” takes about 10 minutes to prepare and engrave. Costs of the awards are being covered by a sponsor. To expedite the awards ceremony, one of the planners suggests that “medals” be prepared for all possible combinations of the three winners. They ask you for your advice. What would be your response, and why? How many possible sets of three winners are there? Show your calculations that support your conclusion.

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