jmc

Question

Seven distinct points are identified on the circumference of a circle. How many different triangles can be formed if each vertex must be one of these 7 points?

Accepted Answer

To form a triangle, we must choose 3 of the 7 points to be the vertices. So, selecting 3 points (without concern for order) out of 7 we get 7 3 = 7 6 53 2 1 = 35 triangles.