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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^2*b + a^2*c + b^2*c + a*b^2 + a*c^2 + b*c^2

Sagot :

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