Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of

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问题 Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many diff

选项 A、3
B、6
C、7
D、9
E、12

答案D

解析 This problem is best done by brute force. First, we must establish that Dan has the option of taking one or two classes per week. If he only takes one class, the three possibilities are Y, W, and K. If he takes two classes per week, the six possibilities are YY, KK, WW, YK, YW, and WK (because the problem is looking for combinations, not arrangements). So that adds up to nine possible combinations.
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