题目

In a marketing survey, 120 people were asked to rank three new advertisement designs A, B, and C from most favorite to least favorite. Each person gave a complete ranking with no ties. Of these people, ranked design A first and ranked design B first. Among those who ranked A first, two-thirds ranked B second. Among those who ranked C first, three-quarters ranked B second. How many people ranked B last?


选项

A.

16

B.

18

C.

20

D.

22

E.

24

解析

总人数:120 首选A的人数:120的3/10 = 36 首选B的人数:120的11/30 = 44 首选C的人数:120 - 36 - 44 = 40 在首选A的36人中,有三分之二的人将B列为第二选择,因此将B列为最后的人数:36 - 24 = 12。 在首选C的40人中,有四分之三的人将B列为第二选择,因此将B列为最后的人数:40 - 30 = 10。 将B列为最后的总人数 = 12 + 10 = 22。 答案:D。
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