Question 2
The diagram below shows five circles touching each other at points $B$, $C$, $D$ and $E$. Points $A$ and $B$ are two different points on the leftmost circle. Points $E$ and $F$ are two different points on the rightmost circle. An ant wants to crawl from $A$ to $F$ along part of the circumference of the circles. If the ant is only allowed to crawl along any parts of the circumference of the circles at most once, how many possible paths can the ant take to crawl from $A$ to $F$?
