A teacher gives a multiple-choice quiz that has 3 questions, each with four possible answers: a, b, c, d. What is the minimum number of students that must be in the class to guarantee that at least 2 answer sheets will be identical?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A teacher gives a multiple-choice quiz that has 3 questions, each with four
possible answers: a, b, c, d. What is the minimum number of students that must
be in the class to guarantee that at least 2 answer sheets will be identical?

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