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Question: 2019 Winter Midterm - 6

Author: Michiel Smid
Let $n \geq 1$ be an integer. A group of $n$ students write an exam. Each student receives a grade, which is an element of the set $\{A, B, C, D, F\}$.
What is the minimum value for $n$, such that there must be at least four students who receive the same grade?
(a)
14
(b)
15
(c)
16
(d)
17