The area of the region $$\left\{(x, y): y^2 \leq 4x, x < 4, \frac{xy(x-1)(x-2)}{(x-3)(x-4)} > 0, x \neq 3\right\}$$ is

A

$$\frac{16}{3}$$

B

$$\frac{64}{3}$$

C

$$\frac{8}{3}$$

D

$$\frac{32}{3}$$