Relational Database Management System (RDBMS) Question:

A B C is a set of attributes. The functional dependency is as follows
AB -> B
AC -> C
C -> B?

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Answer:

a) is in 1NF
b) is in 2NF
c) is in 3NF
d) is in BCNF

(a) is in 1NF since (AC)+ = { A, B, C} hence AC is the primary key. Since C B is a FD given, where neither C is a Key nor B is a prime attribute, this it is not in 3NF. Further B is not functionally dependent on key AC thus it is not in 2NF. Thus the given FDs is in 1NF.

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