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2000 AMC 10 Problem 20

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2000 AMC 10 Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 3 of 5 · about 4 min · position P16-20

Let AA , MM , and CC be nonnegative integers such that A+M+C=10A+M+C=10 . What is 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 ?

  1. A)

    4949

  2. B)

    5959

  3. C)

    6969

  4. D)

    7979

  5. E)

    8989

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