Let P(x, y) be the statement "Student x has taken class y," where the domain for x consists of all students in your class and for y consists of all computer science courses at your school. Express each of these quantifications in English. a) ∃x∃yP(x, y) c) ∀x∃yP(x, y) e) ∀y∃xP(x, y) b) ∃x∀yP(x, y) d) ∃y∀xP(x, y) f) ∀x∀yP(x, y)