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Problem of the Week

2000 AMC 12, Problem 12

Let $A, M,$ and $C$ be nonnegative integers such that $A + M + C = 12$ . What is the maximum value of $A \cdot M \cdot C + A \cdot M + M \cdot C + A \cdot C$ ?

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Template:Weeklyproblem

Problem of the Week