Step 1: Check Each Option
A large forbidden gap describes an insulator, not a conductor.
A conductor does have a valence band, and it is not simply full of electrons.
Step 2: Remaining Option
Only the overlap of valence and conduction bands removes the gap and the need for holes.
Step 3: Result
This is option (B).
Final Answer:
The overlap of the two bands explains the absence of hole current.
\[ \boxed{\text{(B) }\text{have overlapping valence and conduction bands.}} \]