Quiz: Directed Euler Path Conditions

A directed graph has $5$ nodes. Node $A$ has in-degree $2$ and out-degree $3$. Node $B$ has in-degree $3$ and out-degree $2$. All other nodes have equal in-degree and out-degree. Does a directed Euler path exist?

1. A.Yes, starting at $A$ and ending at $B$
2. B.No, the degrees are unbalanced
3. C.Yes, starting at $B$ and ending at $A$
4. D.Only if the graph is strongly connected