# Permutationen/4/Auflistung/Fixpunktfrei/Aufgabe/Lösung

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 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}D}$ ${\displaystyle {}C}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}A}$ ${\displaystyle {}C}$ ${\displaystyle {}B}$ ${\displaystyle {}D}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}A}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}B}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}A}$ ${\displaystyle {}D}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}A}$ ${\displaystyle {}D}$ ${\displaystyle {}C}$ ${\displaystyle {}B}$

 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}B}$ ${\displaystyle {}A}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}B}$ ${\displaystyle {}A}$ ${\displaystyle {}D}$ ${\displaystyle {}C}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}A}$ ${\displaystyle {}D}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}A}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}B}$ ${\displaystyle {}D}$ ${\displaystyle {}A}$ ${\displaystyle {}C}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}B}$ ${\displaystyle {}D}$ ${\displaystyle {}C}$ ${\displaystyle {}A}$

 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}C}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}D}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}C}$ ${\displaystyle {}A}$ ${\displaystyle {}D}$ ${\displaystyle {}B}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}C}$ ${\displaystyle {}B}$ ${\displaystyle {}A}$ ${\displaystyle {}D}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}C}$ ${\displaystyle {}B}$ ${\displaystyle {}D}$ ${\displaystyle {}A}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}B}$ ${\displaystyle {}A}$

 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}D}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}D}$ ${\displaystyle {}A}$ ${\displaystyle {}C}$ ${\displaystyle {}B}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}D}$ ${\displaystyle {}B}$ ${\displaystyle {}A}$ ${\displaystyle {}C}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}D}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}A}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}D}$ ${\displaystyle {}C}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$
 ${\displaystyle {}P}$ ${\displaystyle {}A}$ ${\displaystyle {}B}$ ${\displaystyle {}C}$ ${\displaystyle {}D}$ ${\displaystyle {}Z(P)}$ ${\displaystyle {}D}$ ${\displaystyle {}C}$ ${\displaystyle {}B}$ ${\displaystyle {}A}$
Eine Durchsicht der Liste zeigt, dass es ${\displaystyle {}9}$ fixpunktfreie Permutationen gibt.