N points on the side

There is an equilateral triangle A, B, C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides.

Correct answer:

n =  2197

Step-by-step explanation:

$$\begin{gathered} N=13 \\ n=N^3=13^3=2197 \end{gathered}$$

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