In an institute, the mandatory courses for students studying science and linguistics are S $=\{$Math$,$ Physics, Chemistry$\}$ and L $=\{$Phonetics$,$ Semantics, Syntax$\},$ respectively. This institute also offers degrees in music and the mandatory courses in music are M $=\{$Music History, Conducting$\}.$

From the following statements, select all that apply:

Group of answer choices

Sets S and M are collectively exhaustive to the set C for mandatory courses.

Intersection of M and L is a null set.

Sets S$,$ L$,$ and M are mutually exclusive

Intersection of Sand L is an emptyset.