What approach is required to calculate the arrangements of booths for a trade show with certain adjacent conditions?

To determine the arrangements of booths at a trade show while adhering to specific conditions regarding their adjacency, the most effective approach involves selecting appropriate booth arrangements first and then applying the required conditions. This method ensures that any restrictions regarding the placement of booths, such as certain booths needing to be next to each other or avoiding certain placements, are accounted for in the initial planning stage.

By organizing the booths in a way that satisfies the adjacency requirements from the outset, you can avoid calculating an extensive number of total arrangements that do not meet the conditions, which would unnecessarily complicate the process. After establishing these arrangements, you can then confirm that they satisfy the adjacency rules before finalizing the configurations. This strategic planning helps streamline the process and leads to a more manageable solution to the problem.

While the other approaches may seem viable, they do not effectively prioritize the adjacency conditions, which are crucial for reaching valid arrangements of booths.