Endliche Menge/Permutationen/Fakultät/Fakt/Beweis/Aufgabe

Es sei ${}M$ eine ${}n$ -elementige Menge und sei

B={\left\{F:M\rightarrow M{\text{ Abbildung}}\mid F{\text{ bijektiv}}\right\}}.

Zeige, dass

{}{\#\left(B\right)}=n!\,

ist.

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