Mathematics
The area of the region $\begin{cases}(x,y):y^2≤4x,x<4,\frac{xy(x-1)(x-2)}{(x-3)(x-4)}>0,x≠3\end{cases}$ is
A
$\frac{32}{3}$
B
$\frac{16}{3}$
C
$\frac{8}{3}$
D
$\frac{64}{3}$
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