How many different triangles are formed by the line


Question: Ten points in the plane, no three collinear, are given.

(a) How many different line segments are formed by joining pairs of these points?

(b) How many different triangles are formed by the line segments in (a)?

(c) If A is one of the ten points, how many of the triangles in (b) have A as a vertex?

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Mathematics: How many different triangles are formed by the line
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