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2025 AMC 12A Problems/Problem 18

Revision as of 17:01, 6 November 2025 by Silverrush (talk | contribs) (added stuff; will add solution later)

Problem 19

How many ordered triples $(x, y, z)$ of different positive integers less than or equal to $8$ satisfy $xy > z$, $xz > y$, and $yz > x$?

$\textbf{(A)}~36 \qquad \textbf{(B)}~84 \qquad \textbf{(C)}~186 \qquad \textbf{(D)}~336 \qquad \textbf{(E)}~486$

Solution 1

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