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Finding Highest Normal Form

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Edredo for Learners

Consider the relation R(A, B, C, D, E) with functional dependencies {A → B, B → A, B → E, AC → D}. Which of the following is true regarding the above relation?

(A) The above relation is in 3NF, but not in BCNF
(B) The relation is in BCNF
(C) The relation is in 1NF, but not in 2NF
(D) The relation is in 2NF, but not in 3NF

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