Question 29
$n$ dots are drawn on the circumference of a circle. By joining all the dots to one another by straight lines, the maximum number of regions that can be formed in the circle is counted. For example, when $n=4$, the maximum number of regions is $8$.
What is the maximum number of regions that can be formed when $n=7$?
What is the maximum number of regions that can be formed when $n=7$?