In a triangle ABC, medians AD and BE are drawn. If $AD=4$, $\angle{DAB} = \frac{\pi}{6}$ and $\angle{ABE} = \frac{\pi}{3}$, then the area of the $\Delta ABC$ is :

Question

( A ) $8/3$
( B ) $32/3$
( C ) $32/3\sqrt{3}$
( D ) $8/3\sqrt{3}$