Correct answer
- Role A: {1, 2, 3, 4} - Role B: {3, 4, 5, 6} - Role C: {5, 6, 7, 8} First, we can identify the shared permissions between the roles. The permissions {3, 4} are shared between Role A and Role B, while {5, 6} are shared between Role B and Role C. Therefore, the shared permissions across all roles are {3, 4, 5, 6}. Next, we need to find the unique permissions for each role. For Role A, the unique permissions are {1, 2} since these permissions do not appear in Roles B or C. For Role B, there are no unique permissions because both {3, 4} are shared with Role A, and {5, 6} are shared with Role C. For Role C, the unique permissions are {7, 8} as these do not appear in Roles A or B. Now, we combine the unique permissions from all roles: - Unique permissions from Role A: {1, 2} - Unique permissions from Role B: {} - Unique permissions from Role C: {7, 8} Thus, the combined unique permissions across all roles are {1, 2, 7, 8}. This set represents the permissions that are exclusive to each role without overlap. In conclusion, the correct answer is the set {1, 2, 7, 8}, which captures the essence of set operations in determining unique elements across multiple sets. This question illustrates the importance of understanding set theory concepts, such as union, intersection, and difference, which are crucial in managing permissions and roles in software development.