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Consider the following set of functional dependencies on the relation (ABC), $\{ A \rightarrow B, \: \: AB \rightarrow C, \:\: A \rightarrow BC, \:\: B \rightarrow C\}$.

Find the canonical cover for the above FD set

  1. $\{A \rightarrow BC, B \rightarrow C \}$
  2. $\{A \rightarrow BC, AB \rightarrow C \}$
  3. $\{A \rightarrow BC, A \rightarrow B \}$
  4. $\{A \rightarrow B, B \rightarrow C \}$
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