Answer
(a) There is a student in your class that has taken a computer science course.
(b) There is a student in your class that has taken all computer science courses.
(c) All students in your class have taken a computer science course.
(d) There is a computer science course that every student in your class has taken.
(e) Every computer science course has been taken by some student in your class.
(f) All students in your class have taken all computer science courses.
Work Step by Step
Let P(x,y) be the statement "Student x has taken class y," where the domain x is all students, y is computer science classes at your school.
(a) There is a student in your class that has taken a computer science course.$$\exists x \exists y P(x,y)$$
(b) There is a student in your class that has taken all computer science courses.$$\exists x \forall y P(x,y)$$
(c) All students in your class have taken a computer science course.$$\forall x \exists y P(x,y)$$
(d) There is a computer science course that every student in your class has taken.$$\exists y \forall x P(x,y)$$
(e) Every computer science course has been taken by some student in your class.$$\forall y \exists x P(x,y)$$
(f) All students in your class have taken all computer science courses.$$\forall x \forall y P(x,y)$$
