Question
Find the number of triangles formed by 9 points lying on the circumference of a circle.
Solution
Number of points = 9
Since 9 points lie on the circumference of a circle.
∴ All the 9 points are distinct and no three of them are collinear.
Now, one and only one triangle can be drawn through 3 distinct and non-collinear points.
∴ Number of triangles formed by 9 points by taking 3 at a time
=