What is the maximum number of points of intersection of 5 circles ?

Two circles can intersect at a maximum of $2$ distinct points.

To find the maximum number of points of intersection of $5$ circles, we select any $2$ circles from the given $5$ circles and multiply the number of pairs by $2$.

The number of ways to select $2$ circles from $5$ is $^{5}C_{2}$.

Maximum number of points of intersection $= 2 \times ^{5}C_{2}$

$= 2 \times \dfrac{5 \times 4}{2 \times 1}$

$= 20$

Answer: $20$