Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.
Answer: 56
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.
This question appeared in
Past Papers (5 times)
PPSC 5 Years Past Papers Subject Wise (Solved with Details) (2 times)
PPSC Assistant Past Papers PDF (1 times)
PPSC Past Papers (2 times)
This question appeared in
Subjects (1 times)
MATHS MCQS (1 times)
Related MCQs
- How many triangles can be made by joining the mid points of the sides of an equilateral triangle?
- A polygon has 35 diagonals. The number of sides in the polygon is:
- Two points charges, +5µC and -5µC are placed at points A and B, respectively, which are separated by a distance 2d. What is the electric potential at the midpoint M of the line joining A and B?
- Which of the following is a polygon with six sides?
- A polygon having 4 sides is called
- A polygon having 10 sides is called : :
- The points A(1, 2), B(0, 4) and(3, 5) are the vertices of _____?
- A polygon which consist of 8 sides is called?
- The joining of road sides in a drawing is an example of which technique?
- A line joining the points of equal RLs is called?
