The set $S = \{ 1,2,3 , \ldots , 12 )$ is to be partitioned into three sets $A , B , C$ of equal size. Thus, $A \cup B \cup C = S , A \cap B = B \cap C = A \cap C = \phi$. The number of ways to partition $S$ is\\
(1) $\frac { 12 ! } { 3 ! ( 4 ! ) ^ { 3 } }$\\
(2) $\frac { 12 ! } { 3 ! ( 3 ! ) ^ { 4 } }$\\
(3) $\frac { 12 ! } { ( 4 ! ) ^ { 3 } }$\\
(4) $\frac { 12 ! } { ( 3 ! ) ^ { 4 } }$