Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.
- 56
- 8
- 24
- None of these
Explanation
A polygon with 8 sides has 8 vertices. To form a triangle, you need to choose 3 vertices out of these 8. This can be done in:
8C3 = 8! / (3! x (8-3)!)
= 8! / (3! x 5!)
= (8 x 7 x 6) / (3 x 2 x 1)
= 56
So, 56 triangles can be formed by joining the angular points of a polygon with 8 sides.
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