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Consider relation R(A,B,C,D,E) with functional dependencies:AB -> C, C -> D, BD -> EWhich of the following sets of attributes does not functionally determine E?

Question

Consider relation R(A,B,C,D,E) with functional dependencies:AB -> C, C -> D, BD -> EWhich of the following sets of attributes does not functionally determine E?

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Solution

The functional dependencies given are AB -> C, C -> D, BD -> E.

To functionally determine E, we need either BD or ABC (since AB -> C and then we have BD -> E).

So, any set of attributes that does not include BD or ABC will not functionally determine E.

For example, a set of attributes like AC, AD, or BCD will not functionally determine E.

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