Consider the two relations R and S shown below.
(a) Form the natural join T = R ? S. Note that it has five rows.
(b) Form the Boyce-Codd decomposition of T. Note that one component has five rows, and note that the original description of T in terms of R and S is more compact than the BCNF decomposition.
(c) Does the number of rows in at least one of the relations in BCNF decomposition of a natural join always equal the number of rows in the original (composite) relation?