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Is there any reason to design a database schema that is in 2NF,but is in no higher-order normal form?

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see it depends what is ur priority and size of database

Higher Normalization reduces data redundancy but  at the same time the access speed is reduced as no of tables are increased

and so sometimes denormalization is also needed to reduce the complexity in database

in real life scenario mormalization upto 3rd NF is adequate . but people work in 1nf, 2nf also

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