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Greatest number of intersection points of given straight lines and circles

The same question, asked 2 times: 21 Apr 2025 S1*, 19 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    21 Apr 2025 S1

    125
    The greatest possible number of points of intersection of 8 distinct straight lines and 4 distinct circles is

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  2. Question 2

    19 May 2026 S2

    55
    The maximum number of points of intersection between 44 circles and 44 straight lines is:

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