# Diametrical Points!

Discrete Mathematics Level pending

A total of $$n$$ points are equally spaced around a circle and are labelled with the integers $$1$$ to $$n$$, in order. Two points are called diametrically opposite if the line segment joining them is a diameter of the circle. If the points labelled $$42$$ and $$8$$ are diametrically opposite, then $$n$$ equals $$\text{__________}$$.

Bonus: Prove that if $$n$$ is odd, then there are no two points diametrically opposite.

×