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Figure 5-2. A One-to-Many relationship between departments and categories Another common scenario in which you see the One-to-Many relationship is with the Order Order Details tables, where Order contains general details about the order (such as date, total amount, and so on) and Order Details contains the products related to the order. Many-to-Many Relationships The other common type of relationship is the Many-to-Many relationship. This kind of relationship is implemented when records in both tables of the relationship can have multiple matching records in the other. In our scenario, this happens between the Product and Category tables,

because a product can exist in more than one category (one product many categories), and also a category can have more than one product (one category many products). This happens because we decided earlier that a product could be in more than one category. If a product belonged to a single category, you would have another One-to-Many relationship, just like that between departments and categories (where a category can t belong to more than one department). If you represent this relationship with a picture as shown previously in Figure 5-2, but with generic names this time, you get something like what is shown in Figure 5-3.

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For example, you might implement a Swiss tax system where there are two classes, defined as follows: class SwissTaxEngine : ITaxEngine { } class SwissTaxAccount : ITaxAccount { } And if you wish to implement an American tax system, the two classes would be defined as follows: class AmericanTaxEngine : ITaxEngine { } class AmericanTaxAccount : ITaxAccount { } The user of either the American or Swiss tax system will not know the specific details of those tax systems. Initially, users would need to determine which tax system they wished to use. This decision is made using something called a factory, as explained in the upcoming Abstracting Instantiations with Factories section.

Too Many Constraints: This message appears in the Add/Change Constraint dialog box if the number of cells in the Cell Reference edit box exceeds Solver s limits To correct this problem, reduce the number of cells referenced in the Cell Reference box The Problem Is Too Large for Solver to Handle: This message appears when the total number of cells referenced in all constraints in the Subject to the Constraints list exceeds Solver s limits To correct this problem, reduce the total number of cells referenced in the Subject to the Constraints list Unequal Number of Cells in Cell Reference and Constraint: This message appears in the Add/Change Constraint dialog box if the number of cells referenced in the Cell Reference box is not equal to the number of cells referenced in the Constraint box.

Figure 5-3. The Many-to-Many relationship between categories and products Although logically the Many-to-Many relationship happens between two tables, databases don t have the means to physically implement this kind of relationship by using just two tables, so we cheat by adding a third table to the mix. This third table, called a junction table (also known as a linking table or associate table) and two One-to-Many relationships will help achieve the Many-to-Many relationship. The junction table is used to associate products and categories, with no restriction on how many products can exist for a category or how many categories a product can be added to. Figure 5-4 shows the role of the junction table. Note that each record in the junction table links one category with one product. You can have as many records as you like in the junction table, linking any category to any product. The linking table contains two fields, each one referencing the primary key of one of the two linked tables. In our case, the junction table will contain two fields: a CategoryID field and a ProductID field. Each record in the junction table will consist of a (ProductID, CategoryID) pair, which is used to associate a particular product with a particular category. By adding more records to the junction table, you can associate a product with more categories or a category with more products, effectively implementing the Many-to-Many relationship. Because the Many-to-Many relationship is implemented using a third table that makes the connection between the linked tables, there is no need to add additional fields to the related tables in the way that you added DepartmentID to the category table for implementing the Oneto-Many relationship.

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