September 30, 2014

Problem of the Week

for Tuesday, September 30, 2014

Six points are chosen on the circumference of a circle in such a way that when every point is connected to every other point by a straight line, no three lines intersect at the same point inside the circle. How many different regions in the circle are formed? The results for 2, 3, 4, and 5 points are shown below. Be careful: the answer to the question may surprise you.