In a graduating class of 236 students, 142 took algebra and 121 took chemistry.

游客2024-01-12  22

问题 In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest number of students that could have taken both algebra and chemistry?

选项 A、21
B、27
C、37
D、121
E、142

答案 D

解析 一个236名学生的研究生班,有142人选修代数,121人选修化学,问最多有多少人既修代数又修化学?
解:本题的正确答案为(D)。本题也即求两个集合交集的最大值,交集中的元素数小于或等于较小的集合中的元素数,所以最多有121个同时选了两门课。
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