Read the information given below and answer the 2 associated questions. 190 students have to choose at least one elective and at most two electives from a list of three electives: E1, E2 and E3. It is found that the number of students choosing E1 is half the number of students choosing E2, and one third the number of students choosing E3. Moreover, the number of students choosing two electives is 50.
Question: 1
Which of the following CANNOT be obtained from the given information?
Number of students choosing either E1 or E2 or both, but not E3
Number of students choosing both E1 and E2
Number of students choosing E3
Number of students choosing exactly one elective
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The Correct Option isC
Solution and Explanation
The correct option is (C): Number of students choosing both E1 and E2.
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Question: 2
In addition to the given information, which of the following information is NECESSARY and SUFFICIENT to compute the number of students choosing only E1, only E2 and only E3?