Let be nonnegative integers with

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Let A,M,CA, M, C be nonnegative integers with A+M+C=10A+M+C=10. Determine the maximum value of A⋅M⋅C+A⋅M+M⋅C+C⋅AA \cdot M \cdot C+A \cdot M+M \cdot C+C \cdot A

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