A web-based system is being developed to support the administration of tennis tournaments.

Comprehensive and Detailed in Depth Explanation:

The situation involves combinations of multiple factors (attendance fund, ranking, locality, sponsorship, and history), which can result incombinatorial explosionif tested exhaustively.

Pairwise testingis the best choice here because itefficiently covers combinationsby focusing onpairwise interactionsrather than testing all possible combinations, making it suitable when time is limited.

State Transition testing (A)focuses on states and transitions, which is not the primary concern here.

Equivalence partitioning (C)would reduce the number of tests but does not cover combinations efficiently.

Use Case testing (D)is more focused on user interactions rather than combinations of input factors.

Therefore, the correct answer isB (Pairwise testing).