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 [AIEEE 2007]

AIEEE 2007 Solved Paper

Section: Mathematics

Question : 83 of 118

Marks: +1, -0

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

[AIEEE 2007]

‌
12!
(4!)3
‌
12!
(4!)4
‌
12!
3!(4!)3
‌
12!
3!(4!)4

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