There are 4 straight lines, 3 circles and 2 ellipse in xy plane. Find the maximum number of their intersection points.

Explanation

80
Line and Line :`""^(4)C_(2)xx1=6 " " ` Ellipse and Ellipse `=""^(2)C_(2)xx4=4`
Circle and Circle =`""^(3)C_(2)xx2=6`
Lines and circle`=""^(4)C_(1)xx""^(3)C_(1)xx2=24" "` Circle and Ellipse `=""^(3)C_(1)xx""^(2)C_(1)xx4=24`
Lines and ellipse `=""^(4)C_(1)xx""^(2)C_(1)xx3=16`
`:.` Total point of intersection are 80.