300 - To do that, you need to roll 12 strikes in a row.
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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 ).
If there are n points then the maximum number of lines possible is n*(n-1)/2 and that maximum is attained of no three points are collinear.
Minimum 3 points - maximum 12 points.
one
An argmax is a mathematical term for the argument of the maximum - the set of points of a given argument for which a given function attains its maximum value.