The maximum number of points into which 4 circles and 4 straight lines intersect, is

We observe that

4 lines intersect each other in ${ }^4{C}_2=6$ points.

4 circles intersect each other in ${ }^4{C}_2 x 2=12$ points

A line cuts a circle in 2 points

$\therefore$ 4 lines will cut four circles into 2 x 4 x 4 = 32 points.

Hence, required number of points= 6 + 12 + 32 =50.