Too many intersections
You have 8 convex octagons and 10 circles in a plane. How many maximum number of points of intersections could be there.
: This is a theoretical question. ( no geometry required)
Try my set : Let's play with polygons
The answer is 1818.
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1 solution
Two octagons can have a max of 16 intersections (8C2 * 16) , Two circles can have a max of 2 intersections (10 C2 * 2) , a circle and an octagon can have a max of 16 intersections (8C1 * 10C1 *16)
The answer is 8C2 × 16 + 10C2 × 2 + 8C1 × 10C1 × 16 = 1818