The set S = 1, 2, 3,........., 12 is to be partitioned into three sets A, B, C of equal size. Thus A B C = S, A B = B C = A C = φ. The number of ways to partition S is

Permutations and Combinations: JEE Main 2007 Mathematics question

JEE Main 2007 · Annual, Paper 1 · Q4812

JEE Main 2007Annual, Paper 1MathematicsEasyPermutations and Combinations98× since 2002

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

JEE Main 2007 · Annual, Paper 1 · Q4812

JEE Main 2007Annual, Paper 1MathematicsEasyPermutations and Combinations98× since 2002

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