Problem #PRU-65637

Problems Combinatorics Painting problems Methods Pigeonhole principle Pigeonhole principle (other) Proof by contradiction Algebra and arithmetic Word problems Tables and tournaments Tables and tournaments (other)

12–14 3.0

Problem

Hannah recorded the equality $M A \times T E \times M A \times T I \times C A = 2016000$ and suggested that Charlie replace the same letters with the same numbers, and different letters with different digits, so that the equality becomes true. Does Charlie have the possibility of fulfilling the task?

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