Geometry

Question Analysis  
This question involves the application of combinations in a geometric context (forming line segments from points on a circle).
The main focus is to recognize that a line segment is defined by 2 distinct points, and the problem requires calculating the number of unique pairs of points.  

Key Concept Explanation  
A line segment between two points is a combination problem where order does not matter (connecting point A to B is the same as B to A).
The formula for combinations, , is used to find the number of ways to choose items from distinct items without regard to order.
Here, (total points) and (points needed for a segment).  

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

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