First slide

Combinations

Question

The maximum possible number of points of intersection of $8$ straight lines and $4$ circles is

Moderate

A

164
B

76
C

104
D

32

Solution

Number of points of intersections
$\begin{array}{l} = (^{8} C_{2}) + 2 (^{4} C_{2}) + 2 (^{8} C_{1}) (^{4} C_{1}) \\ = 104 \end{array}$

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