Mathematics, 04.06.2020 19:12 lukerothbacher

In a high-school, 135 freshmen were interviewed. Thirty-five of them took PE, 42 took BIO, 60 took ENG, 10 took PE and BIO, 15 took PE and ENG, 7 took BIO and ENG, and 5 took all three subjects.
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What is the probability that a randomly-chosen student from this group did not take exactly two subjects?

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In a high-school, 135 freshmen were interviewed. Thirty-five of them took PE, 42 took BIO, 60 took...