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

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The set {S}{}={}{{1},{}{2},{}{3},{},{}{12})}is to be partition

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

\frac{12 !}{3 ! ( 4 ! ) ^{3}}

\frac{12 !}{3 ! ( 3 ! ) ^{4}}

\frac{12 !}{( 4 ! ) ^{3}}

\frac{12 !}{( 4 ! ) ^{4}}

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Evelyn Discussed

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 = φ

. The number of ways to partition S is

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Question Text	The set $S = {1, 2, 3,, 12)$ is to be partitioned into three sets A, B, C of equal size. Thus, $A \cup B \cup C = S, A \cap B = B \cap C = A \cap C = φ$ . The number of ways to partition S is
Answer Type	Video solution: 1
Upvotes	151