At a college, student belong to departments.

$$ IT

$$ Media

$$ Business Administration $($BA$)$

Assume that a set of students in IT is A$,$ a set of students in Media is S$,$ and a set of students in Business Administration is B$.$ A student can belong to more than one school at the same time. At graduation ceremonies, You allocated a specific day for each school$$s graduation ceremony based on the following rules:

$$ Sunday will be allocated to students who belong to IT and Media at the same time but not in BA$.$

$$ Monday will be allocated to students of BA that don$$t belong to any other department

$$ Tuesday will be allocated to students of IT that don$$t belong to any other department

$$ Wednesday will be allocated to student who belong to BA$,$ Media, and IT at the same time.

$$ Using set notation, write down two algebraic expressions that describe the set of students that will be graduating each day using the three original sets A$,$ S$,$ B$,$ and reduce the expressions to their simplest form.