Bestimme für die Mengen

${\displaystyle M=\{a,b,c,d,e\},\,N=\{a,c,e\},\,P=\{b\},\,R=\{b,d,e,f\}}$

die Mengen

1. ${\displaystyle {}M\cap N}$,
2. ${\displaystyle {}M\cap N\cap P\cap R}$,
3. ${\displaystyle {}M\cup R}$,
4. ${\displaystyle {}{\left(N\cup P\right)}\cap R}$,
5. ${\displaystyle {}N\setminus R}$,
6. ${\displaystyle {}{\left(M\cup P\right)}\setminus {\left(R\setminus N\right)}}$,
7. ${\displaystyle {}{\left({\left(P\cup R\right)}\cap N\right)}\cap R}$,
8. ${\displaystyle {}{\left(R\setminus P\right)}\cap {\left(M\setminus N\right)}}$.