GATE CS 2015 Set 1 — Question 48

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NAT+2 / -0MediumER to Relational MappingER ModelDatabases1NF, 2NF, 3NFNormalization

Databases → ER Model → 1NF, 2NF, 3NF

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Consider an Entity-Relationship (ER) model in which entity sets E1E_1 and E2E_2 are connected by an m:nm:n relationship R12R_{12}. E1E_1 and E3E_3 are connected by a 1:n1:n (1 on the side of E1E_1 and nn on the side of E3E_3) relationship R13R_{13}.E1E_1 has two single-valued attributes a11a_{11} and a12a_{12} of which a11a_{11} is the key attribute. E2E_2 has two single-valued attributes a21a_{21} and a22a_{22} of which a21a_{21} is the key attribute. E3E_3 has two single-valued attributes a31a_{31} and a32a_{32} of which a31a_{31} is the key attribute. The relationships do not have any attributes.
If a relational model is derived from the above ER model, then the minimum number of relations that would be generated if all the relations are in 3NF is ___________.
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