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# If every non-key attribute is functionally dependent on the primary key, then the relation will be ina)First normal formb)Third normal formc)Second normal formd)Fourth normal formCorrect answer is option 'C'. Can you explain this answer? Related Test: Functional Dependencies And Normalization (Basic Level)- 1

## Computer Science Engineering (CSE) Question

DHIRENDRA GUPTA answered Oct 20, 2020
Conditions for various normal forms:
1. 1 NF – A relation R is in first normal form (1NF) if and only if all underlying domains contain atomic values only.
2. 2 NF – A relation R is in second normal form (2NF) if and only if it is in 1NF and every non-key attribute is fully dependent on the primary key.
3. 3 NF – A relation R is in third normal form (3NF) if and only if it is in 2NF and every non-key attribute is non-transitively dependent on the primary key.
4. BCNF – A relation R is in Boyce-Codd normal form (BCNF) if and only if every determinant is a candidate key.
Example:
Relation R(XYZ) with functional dependencies {X -> Y, Y -> Z, X -> Z}.
Notice here Y -> Z, in question it is not mention that non prime attribute is only dependent on primary key so this FD is perfectly valid.
This relation is in 2NF but not in 3NF because of every non-key attribute is transitively dependent on the primary key. Here {X} will be candidate key.