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The AoPS Wiki project is administered by the Art of Problem Solving for supporting educational content useful to avid math students.

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Problem of the Week

2000 AMC 12, Problem 12

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

Recent Changes

• LaTeX/Installing‎
• 2024 AMC 8 Problems/Problem 4‎
• 2023 AMC 12B Problems/Problem 19‎
• 1957 AHSME Problems/Problem 37‎
• 2001 AMC 8 Problems/Problem 25‎

• More...

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