Recently concluded Hay Festival in the Bangla Academy held two discussion sessions. The discussion leader of the festival was selecting two groups of books Group 1 and Group 2- for the sessions. She was choosing from seven books - T, U, V, W, X, Y, and Z. Group 1 would contain four of the books and Group 2 would contain the other three books. The leader must select the books for each group according to the following restrictions: • T cannot be in the same group as U. • If X was in Group 2, Z must also be in Group 2. • If Z was in Group 1, W must also be in Group 1. If T and Z were in Group 2, any of the following books could also be in Group 2 EXCEPT