The set $S : \{1, 2, 3, . . . . ,12\}$ 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 :

Question

( A ) $12!/(4!)^3$
( B ) $12! / 3! (4!)^3$
( C ) $12! / (3!)^4$
( D ) $12! / 3! (3!)^4$