$I=\int \limits_0^{\frac{\pi}{2}} \sin ^4 x \cos^2 x dx$ find the value of I

Question

$\begin {array} {1 1} (a)\;\large\frac{\pi}{16} \\ (b)\;\large\frac{\pi}{8} \\ (c)\;\large\frac{\pi}{32} \\ (d)\;0 \end {array}$