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2017 AIME II Problems/Problem 14

Revision as of 11:38, 23 March 2017 by The turtle (talk | contribs) (Created page with "<math>\textbf{Problem 14}</math> A <math>10\times10\times10</math> grid of points consists of all points in space of the form <math>(i,j,k)</math>, where <math>i</math>, <math...")
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$\textbf{Problem 14}$ A $10\times10\times10$ grid of points consists of all points in space of the form $(i,j,k)$, where $i$, $j$, and $k$ are integers between $1$ and $10$, inclusive. Find the number of different lines that contain exactly $8$ of these points.

$\textbf{Problem 14 Solution}$ $\boxed{168}$

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