The primary key is the Member Number only and does not include the Store Code. Since a member number is assigned per store and is duplicated across stores (number 1 exists in Sapporo, Tokyo, and Osaka), it cannot be unique. Moreover, the Member Type Code is also missing, so each member's member type cannot be represented and information is lost.
×Incorrectイ
Although it has the Member Type Code, the primary key is the Member Number only and lacks the Store Code, so it cannot uniquely identify member numbers that are duplicated across stores. The mistake is that it does not form a composite primary key.
×Incorrectウ
The primary key “Store Code + Member Number” is correct, but the Member Type Code is missing. The member type is an attribute that depends on the combination “Store Code + Member Number” (Gozen Sakurako is Platinum in Tokyo but Regular in Osaka), and dropping it makes it impossible to restore the original Member Management table, so it is not a lossless decomposition.
○エ
正解The key to normalization is the condition that “a member number is assigned per store”. In fact, member number = 1 exists in Sapporo, Tokyo, and Osaka alike, so a member number alone cannot uniquely identify a member. Therefore the primary key of the Member table must be the composite key “Store Code + Member Number”. Next, looking at which key each column depends on, the Member Name and the Member Type Code are determined by the combination “Store Code + Member Number” (for example, Gozen Sakurako has Member Type Code 01 = Platinum in Tokyo but 03 = Regular in Osaka, so the same member number can have a different member type depending on the store). On the other hand, the Store Name is determined by the Store Code alone, and the Member Type Name by the Member Type Code alone, so they are separated into the Store table and the Member Type table respectively. As a result, the Member table becomes “Store Code (primary key), Member Number (primary key), Member Name, Member Type Code (foreign key)”, which is a lossless decomposition that can restore the original table without any loss. This matches choice エ.
ここがポイント
Normalization and composite primary keys: an item that is not unique on its own should be made into a composite primary key. From the condition that a member number is assigned per store, the composite key with the Store Code (Store Code + Member Number) becomes the primary key of the Member table.
Attribute placement based on functional dependency (lossless decomposition): the Store Name depends on the Store Code and the Member Type Name depends on the Member Type Code, so they are separated into other tables. On the other hand, the Member Name and Member Type Code depend on the whole composite key, so they remain in the Member table, allowing the original table to be restored without any loss.