$I= \int \limits_0^{\frac{\pi}{6}} \cos ^5 3 \theta . \sin ^3 6 \theta d \theta$ Find the value of I.

Question

\[\begin {array} {1 1} (a)\;\frac{16}{297} \\ (b)\;\frac{17}{297} \\ (c)\;\frac{1}{7} \\ (d)\;\frac{2}{11} \end {array}\]