What is the minimum number of tests required to cover equivalence partitions based on a decision table for an airline reservation system?

In the context of testing based on decision tables, equivalence partitioning is a technique used to reduce the number of test cases by identifying input conditions that can be grouped together. Each group, or equivalence partition, is treated as a single test case, as they are expected to produce similar results.

For an airline reservation system, decision tables will typically represent various conditions or states that affect the outcome of booking a reservation. These conditions may include factors such as passenger type (adult, child, senior), ticket class (economy, business), or payment method (credit card, PayPal).

To determine the minimum number of tests required, one needs to analyze the different combinations of possible conditions:

1. For example, if there are two factors, such as "passenger type" (which might have two partitions: adult and child) and "ticket class" (economy and business, similarly partitioned), the combinations of these give rise to multiple equivalence classes.
2. Each unique combination creates a different scenario, resulting in the need for a separate test case to ensure all functionalities are verified under these distinct conditions.

Given this, you would typically need at least four tests to cover every unique combination of the identified partitions. This might typically include