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A relation R = {A, B, C, D, E, F,G} is given with following set of functional dependencies: F = {AD → E, BE → F, B → C, AF → G} Which of the following is a candidate key ?
  • a)
    A
  • b)
    AB
  • c)
    ABC
  • d)
    ABD
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A relation R = {A, B, C, D, E, F,G} is given with following set of fun...
[AD]+ = ADE. [BE]+ = BCEF. [B]+ = BC. [AF]+ = AFG. Nothing drives all the attributes, but if We add B in first key i.e. [ADB] then it will give all the attribute [ADB]+ = ABCDEFG. So, option (D) is correct.
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Most Upvoted Answer
A relation R = {A, B, C, D, E, F,G} is given with following set of fun...
-> B, BC -> D, CD -> E, DE -> F, EF -> G}.

To find the closure of a set of attributes X, we need to find all the attributes that are functionally dependent on X.

To find the closure of {A}, we start by adding {A} to the closure set. Then, we check for any functional dependencies where the left side is a subset of the closure set. In this case, we find AD -> B, so we add B to the closure set.

Next, we check for any functional dependencies where the left side is a subset of the closure set. We find BC -> D and CD -> E, so we add D and E to the closure set.

We repeat this process until no new attributes are added to the closure set.

In this case, the closure of {A} is {A, B, D, E}.
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A relation R = {A, B, C, D, E, F,G} is given with following set of functional dependencies: F = {AD → E, BE → F, B → C, AF → G} Which of the following is a candidate key ?a)Ab)ABc)ABCd)ABDCorrect answer is option 'D'. Can you explain this answer?
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