If $\begin{align*}\frac{^{n+2}C_6}{^{n-2}P_2} = 11, \end{align*}$ then $n$ satisfies the equation :

Question

$\begin{array}{1 1}(1)\; n^2+3n−108=0 \\ (2)\; n^2+5n−84=0 \\ (3)\; n^2+2n−80=0 \\ (4) n^2+n−110=0 \end{array} $