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It is 10 crossovers.

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What is the maximum number of points of intersection when two circles and five strait lines intersect ecah other?

32


What is the maximum number of points of intersection when two circles and five straight lines intersect each other?

When two circles intersect, they can create a maximum of 2 intersection points. Each straight line can intersect with each of the two circles at a maximum of 2 points, contributing 10 points from the lines and circles. Additionally, the five straight lines can intersect each other, yielding a maximum of ( \binom{5}{2} = 10 ) intersection points. Therefore, the total maximum points of intersection are ( 2 + 10 + 10 = 22 ).


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