Six dots are evenly spaced on the circumference of a circle.

Six dots are evenly spaced on the circumference of a circle. How many combinations of three dots can we make from these 6 dots that do not form an equilateral triangle?

Quiz

Answer/Solution

18

Steps/Work

The total number of ways we can choose three dots is 6C3=20.
We can form two equilateral triangles from these six dots.
There are 20 - 2 = 18 combinations which do not form an equilateral triangle.
The answer is A.

Geometry Calculator / Auto Solver

Six dots are evenly spaced on the circumference of a circle. How many combinations of three dots can we make from these dots that do not form an equilateral triangle?

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