# Count of triangles

Given a square ABCD and on each side 8 internal points.

Determine the number of triangles with vertices at these points.

Correct result:

n =  4736

#### Solution:

$n=\left(\genfrac{}{}{0px}{}{4\cdot 8}{3}\right)-4\cdot \left(\genfrac{}{}{0px}{}{8}{3}\right)=4736$

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