Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)
| Foundations
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| If there are n teams, how many ways can first prize be awarded?
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| Answer:
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| Each team could win first place. So, there are n ways that first prize can be awarded.
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Solution:
| Step 1:
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| There are 10 ways that first prize could be awarded.
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| Step 2:
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| After choosing a first place winner, there are 9 ways that second prize could be awarded.
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| Step 3:
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| After choosing both a first and second place winner, there are 8 ways that third prize could be awarded.
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| Step 4:
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So, the total number of ways first, second, and third prizes can be awarded is  .
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| Final Answer:
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