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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.

Match the following quantifications $($in the left column$)$ with their corresponding expressions $($in the right column$).$

$1$

AAxAAyP$(x,y)$

$2$

AAyEExP$(x,y)$

$3$

AAxEEyP$(x,y)$

$6$

EExAAyP$(x,y)$

Match each of the options above to the items below.

There is a student in your class who has taken every computer science course.

Some student in your class has taken some computer science course.

Every student in your class has taken at least one computer science course.

Every student in your class has taken every computer science course.

Every computer science course has been taken by at least one student in your class.

There is a computer science course that every student in your class has taken.