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Prove the following. 2. A midterm exam consists of 5 problems. Students who solve two of those problems correctly get a passing grade. There are

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Prove the following.

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2. A midterm exam consists of 5 problems. Students who solve two of those problems correctly get a passing grade. There are 32 students in the class, and only 8 students passed. Prove that one of the problems was solved correctly by at most 12 students

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