# 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.