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GAIC Math 2024 Problem 9

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Positive integers aa, bb, and cc satisfy a>b>c>1a > b > c > 1, and also satisfy abc∣(ab−1)(bc−1)(ca−1)abc \mid (ab - 1)(bc - 1)(ca - 1). There are \underline{\hspace{2cm}} possible sets of (a,b,c)(a, b, c).

Dataset text MathOdyssey. Open licence.

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