JEE Math Practice Question

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

1. A.$${{12!} \over {{{(4!)}^3}}}\,\,$$
2. B.$${{12!} \over {{{(4!)}^4}}}\,\,$$
3. C.$${{12!} \over {3!\,\,{{(4!)}^3}}}$$
4. D.$${{12!} \over {3!\,\,{{(4!)}^4}}}$$