Question

the maximum number of points of intersection of 8 unequal circles and 4 straight lines???

Answer 1

1) line and line intersection .

It can be done in 8c2  

ways  

8*7/2 = 28

2) circle and circle intersection .

It can bedone in 4c2  * 2 ways  

(4*3/2)*2 = 12

3) line and circle intersection .

(No. Of line * no . Of circle ) * 2

8*4*2  

64

Total 28 + 12 + 64 =  104 ways

Or

m lines and n circles have at most mC2 + nC2 * 2  + 2mn common points.