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Let R(A,B,C,D,E) be a relation with FDs F = {AB-C, CD-E, E–B} (2 Points) Select one: O Ris in 3NF but not in BCNF. O Ris not
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Answer #1

Answer: The correct answer is R is in 3NF but not in BCNF

First find candidate key of the relation:

ADB + = ADBCE

ADC+ = ADCEB

ADE+ = ADEBC

ADB , ADCand ADE are candidate key.

Condition for 3NF: Let say a functional dependency X -> Y

A relation is said to be in 3NF if X is a super key or Y is a prime attribute.

AB -> C # C is prime attribute

CD -> E # E is prime attribute

E -> B # B is a prime attribute

So above relation is in 3NF

Condition for BCNF: Let say a function dependency X -> Y

A relation is said to be in BCNF iff X is super key.

AB -> C # AB is not a superkey so this relation is not in BCNF

So this relation is not in BCNF

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