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  • Eight points on a circle can be used to draw how many triangles?  Option: 1 56

Eight points on a circle can be used to draw how many triangles?

 

Option: 1

56


Option: 2

54


Option: 3

66


Option: 4

64


Answers (1)

best_answer

We need to determine how many triangles can be created by connecting 8 points on a circle.

It is obvious that none of the 8 spots are collinear because they are all in a circle.

To form a triangle, we need in total three non-collinear points as they create three sides of a triangle.

We are required to select three of the 8 points.

Thus,

\mathrm{\begin{aligned} &{ }^8 C_3=\frac{8 !}{3 ! 5 !}\\ &{ }^8 C_3=\frac{8 \times 7 \times 6}{3 \times 2}\\ &{ }^8 C_3=56 \end{aligned}}

Therefore, the number of ways the triangle is formed is 56 ways.

 

Posted by

Gaurav

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