How many triangles can be formed by joining these points?
For the following two (02) items: There are 8 points on a plane out of which 4 points are collinear.
- A. 56
- B. 54
- C. 53
- D. 52 ✓
Correct Answer: D. 52
Explanation
The total number of ways to choose 3 points from 8 is \binom{8}{3} = 56. However, the 4 collinear points cannot form a triangle, removing \binom{4}{3} = 4 combinations. The total number of triangles is 56 - 4 = 52.
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