2001 Gauss 7 Problem 20

Anne, Beth and Chris have 10 candies to divide amongst themselves. Anne gets at least 3 candies, while Beth and Chris each get at least 2. If Chris gets at most 3, the number of candies that Beth could get is

\textbf{(A)}\ 2\quad \textbf{(B)}\ 2\ \text{or} 3\quad \textbf{(C)}\ 3\ \text{or} 4\quad \textbf{(D)}\ 2, 3\ \text{or} 5\quad \textbf{(E)}\ 2, 3, 4,\ \text{or} 5

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Full credit to this problem is given to the CEMC, you may view all Gauss contests here.