What is the maximum number of points of intersection of 5 circles?
Answer
The correct answer is C: 20. Two circles can intersect in at most 2 points. With 5 circles, the number of pairs is C(5,2) = 10, and each pair contributes at most 2 intersection points.
A.10
B.15
C.20✓ Correct
D.25
Explanation
Two circles can intersect in at most 2 points. With 5 circles, the number of pairs is C(5,2) = 10, and each pair contributes at most 2 intersection points. Hence maximum number of intersection points = 10 × 2 = 20.
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