How many ordered triples (a, b, c) where a, b, and c are from the set {1, 2, 3, ... , 17} satisfy the equation

a^3 + b^3 + c^3 + 2abc = a^2b + a^2c + b^2c + ab^2 + ac^2 + bc^2

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06-11-2022
Mathematics

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How many ordered triples (a, b, c) where a, b, and c are from the set {1, 2, 3, ... , 17} satisfy the equation

a^3 + b^3 + c^3 + 2abc = a^2b + a^2c + b^2c + ab^2 + ac^2 + bc^2

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