Difference between revisions of "004 Sample Final A, Problem 18"
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(Created page with "<span class="exam"> 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) {...") |
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| − | |So, the total number of ways first, second, and third prizes can be awarded is <math>10 | + | |So, the total number of ways first, second, and third prizes can be awarded is <math>10\cdot 9\cdot 8=720</math>. |
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Latest revision as of 09:26, 2 June 2015
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? |
| Answer: |
| Each team could win first place. So, there are n ways that first prize can be awarded. |
Solution:
| Step 1: |
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| There are 10 ways that first prize could be awarded. |
| Step 2: |
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| After choosing a first place winner, there are 9 ways that second prize could be awarded. |
| 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. |
| Step 4: |
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| So, the total number of ways first, second, and third prizes can be awarded is . |
| Final Answer: |
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