First slide

Combinations

Question

The maximum number of points of intersection of 6 circles is

Moderate

A

25
B

24
C

50
D

30

Solution

Two circles intersect maximum at two distinct points Now, two circles can be selected in $^{6} C_{2}$ ways.
therefore,
Total number of points of intersection are $^{6} C_{2} \times 2 = 30$

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