The coefficient of $x^{24}$ in the expansion of $(1+x^2)^{12}(1+x^{12}) (1+x^{24})$ is :

Question

\[\begin {array} {1 1} (1)\;12 C_6 & \quad (2)\;12C_6+2 \\ (3)\;12C_6+4 & \quad (4)\;12C_6+6 \end {array}\]