Mathematics

Mathematics

Problem

The digits A, B, C are such that the three digit numbers A88, 6B8, 86C are divisible by 72, the determinant ∣A688B688C∣\begin{vmatrix} A & 6 & 8 \\ 8 & B & 6 \\ 8 & 8 & C \end{vmatrix} is divisible by a. 72 b. 144 c. 288 d. 216

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