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Given relation R(A, B, C, D, E) and set of functional dependencies                                             F = {AB → C, AB → D, D → A, BC → D, BC → E}

What will be the highest normal form satisfied by R ?
a.   1 NF b. 2 NF c.   3 NF d. BCNF

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F = {AB → C,
AB → D,
D → A,
BC → D,
BC → E}
candidate keys are={BA,BC,BD}
for transitive dependency a non key attribute ->non key attribute
for partial dependency a prime attribute->non key attribute
D->A is not a partial dependency(A is a prime attribute) also D is not a superkey
so ,highest normal form possible is 3NF
 

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