10 circles and 4 straight lines interset with each other . What is the maximum number of possible points of intersection ?

Dear avinava

1 intersection of circle

  2 circcle can intersect each other at maximum 2 point.

so 10 circle intersect each other =¹⁰c₂ *2 points

2 intersection of lines

  2 lines can intersect each other at max 1 point

      so 4 lines intersect each other = ⁴c₂  points

3 intersection of line and circle

   a line can intersect a circle at max 2 point

      total intersection =¹⁰c₁ *⁴c₁ *2 points

final answer is ¹⁰c₂ *2    +  ⁴c2   +   ¹⁰c₁ *⁴c₁ *2     points