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A relation $R=${${A,B,C,D,E,F}$} is given with following set of functional dependencies:

$F=${${A\rightarrow B, AD\rightarrow C,B\rightarrow F,A\rightarrow E}$}

Which of the following is candidate key?

  1. $A$
  2. $AC$
  3. $AD$
  4. None of these
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$A^+ = \{A , B, E, F\} $

$AC+ = \{A , B, C, E, F\}$

$AD+ = \{A, B, C, D, E, F\} $

Hear, Using AD we are able to reach all other attributes so AD is the candidate key.

Ans: C) AD

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