Q1. For R(A, B, C) with F = {AB -> C, C -> B}, which statement about normal forms and decomposition is correct?
Explanation
The candidate keys are AB and AC: AB determines C directly, and AC determines B through C -> B. Thus A, B, and C are all prime attributes. The dependency C -> B has a determinant that is not a superkey, so BCNF is violated, but its right-hand side B is prime, so 3NF is satisfied. A BCNF split into CB and AC is lossless on C, yet AB -> C is not derivable from the projected dependencies alone.
