a) Notice that Josh is included in the intersection of the three sets; therefore, Josh likes mystery, nonsense, and horror.
b) Once need to consider the students in the mystery and nonsense sets, as well as the intersection of both sets. Thus, the answer to part b) is 9 students.
c) Consider all the students that are included in any of the three sets; then exclude any student in the intersection between two or more sets. Therefore, the answer to part c) is