SOLUTION: I have 100 points on a circle and connect every point with the other 99. What is the maximum number of intersection points I will have in the circle? I have figured out that I

Algebra ->  Circles -> SOLUTION: I have 100 points on a circle and connect every point with the other 99. What is the maximum number of intersection points I will have in the circle? I have figured out that I       Log On


   

Question 697077: I have 100 points on a circle and connect every point with the other 99. What is the maximum number of intersection points I will have in the circle?
I have figured out that I have 4950 chords. Two chords which is 4 points are needed to have an intersection. I am stuck on this.
thanks
Tyler
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you have n lines, then there will be a max of n C 2 intersections.

So you will have 4950 C 2 = (4950*4949)/(2*1) = 12,248,775 intersections maximum.