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

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) (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.
RELATED QUESTIONS
How do we find other points on a circle when given only one point? ex: If I know a point (answered by Alan3354)

the maximum number of possible points of intersection of a circle and a triangle is... (answered by lynnlo)

A circle with a centre of (0,0) is defined by the equation x2 +y2 = 100.... (answered by greenestamps)

Hi, I need help with a circle problem. I can't draw it so I'll explain it thoroughly.... (answered by solver91311)

I have a worksheet called dot to dot distance. Using the given grid and the starting... (answered by nerdybill)

given the center of circle (-3,4) and a point on the circle (-3,13) what are the points... (answered by Alan3354)

Question 8 If AB = 5.5, CD = 7, and FE = 19.5, calculate the values of line... (answered by MathLover1)

find all positive real number m so that the graphs of x+my=0 and x=y^2 have respectively: (answered by hoomanc)