Question 983010
Draw a picture of this, using dots arranged uniformly around a circle.  Start drawing and counting ALL of the segments that are possible.  NONE is to be duplicated.


A way to handle this without actually using all eight dots  (representing people) is to start with just 3 dots, and draw all segments, and count.  Then Use 4 dots, draw all segments and count them; 5 dots, and on like this.  LOOK FOR THE PATTERN!.....ANALYZE AND LOOK FOR THE PATTERN.....


Try to find an expression  (algebraic expression )  for a formula for this pattern.