The number of $$3\times3$$ matrices A whose entries are either O or 1 and for which the system $$A\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}1\\0\\0\end{bmatrix}$$ has exactly two distinct solutions, is

A

$$0$$

B

$$2^{9}-1$$

C

$$168$$

D

$$2$$