Consider the relation Courses(C,T,H,R,S,G), whose at tributes may be thought of informally as course, teacher, hour, room, student, and grade. Let the set of FDs for Courses be C >T, HR >C, HT -> R, HS -> R, and CS -> G. Intuitively, the first says that a course has a unique teacher, and the second says that only one course can meet in a given room at a given hour. The third says that a teacher can be in only one room at a given hour, and the fourth says the same about students. The last says that students get only one grade in a course.

Is relation COURSES(C,T,H,R,S,C)

a) in 3rd normal form?

b) BCNF? Explain.