The new semester has begun. If it is known that M(x,y) is defined as "x taking y courses", A(x,y) is defined as "x getting an A in y courses", and L(x,y) is defined as "x passing y courses" with x is all students of Fasilkom UI and y are all courses in Fasilkom UL. Use quantification to write the sentences below in the logic formula of the predicate (write down assumptions if needed). a. Not all students of Fasilkom UI who passed the Discrete Mathematics 1 course got an A grade in that course. b. All students of Fasilkom UI who take Statistics & Probability courses pass Discrete Mathematics 1 and Calculus 1 courses. There are exactly two students of Fasilkom UI who scored A in all courses. c. d. There are Fasilkom UI students who pass all existing courses and get grades A on at least two different courses.