2017 AIME II Problems/Problem 14

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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.

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