Question 42

Eight points lie on the circumference of a circle. The difference between the number of triangles and the number of quadrilaterals that can be formed by connecting these points is

Solution

The number of quadrilaterals that can be made using any 4 points out of total 8 points on the given circle = $$^8C_4$$ = 70
The number of triangle that can be made using any 4 points out of total 8 points on the given circle = $$^8C_3$$ = 56
Thus, the required difference = 70-56 = 14
Hence, option B is the correct answer.

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