Geometry

Question Analysis  
This question involves applying combinatorial principles to geometry, specifically calculating the number of triangles formed by non-collinear points.
The main focus is recognizing that a triangle is defined by 3 non-collinear points, and since no three points are collinear, every set of 3 points forms a unique triangle.  

Key Concept Explanation  
A triangle is formed by selecting 3 distinct points, and the order of selection does not matter (i.e., points A, B, C form the same triangle as B, A, C).
This is a classic combination problem, solved using the formula , where (total points) and (points needed to form a triangle).  

Step-by-Step Solution  
1. Identify and .  
2. Apply the combination formula:  
 

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