Two or more spots are placed anywhere on a circle's circumference. Every pair is joined by a straight line. Given n spots, what is the maximum number of regions into which the circle can be divided?

(n^4 - 6n^3 + 23n^2 - 18n + 24)/24.

Edited on March 13, 2023, 12:24 am

Posted by K Sengupta on 2023-03-13 00:19:24