a small college has 200 students, each of whom is required to takeat least one m

Question

a small college has 200 students, each of whom is required to takeat least one major subject, English, math or history. one semester,80 students take history, 45 take math, and 75 take english. forall three subjects, there are 20 students who take just thatsubject and not other major. there are also 10 students who takeall three major simultaneously. there are also students who aretaking two majors. three students are to be chosen at random toattend a national student conference. what is the probability thatat least one student will be chosen who is taking both math andEnglish but not history?

Explanation / Answer

When you say "there are 20 students who just that subject and notother major" what do you mean? I tried to solve it assuming you meant that each subject had 20students who only took that particular class, but I wasn't able toget a solid answer for your question. I get the feeling thatsome information is missing.

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