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3. A professor teaching a Discrete Math course gives a multiple choice quiz that has four questions, each with four possible responses: a, b, c,

3. A professor teaching a Discrete Math course gives a multiple choice quiz that has four questions, each with four possible responses: a, b, c, d. What is the minimum number of students that must be in the professors class in order to guarantee that at least four answer sheets must be identical? (Assume that no answers are left blank.)

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