Beim Abschlussrennen der besten Schikursgruppe nehmen 8 Mädchen teil.[br][br]a) Beim ersten Bewerb sollen die Teilnehmerinnen in einer zufällig ausgelosten Reihenfolge starten.[br]Berechne, wie viele mögliche Startaufstellungen es gibt![br][br]b) Der zweite Bewerb ist ein Parallelslalom, d.h. es starten immer 2 Teilnehmerinnen gleichzeitig.[br]Wie viele Möglichkeiten gibt es, das erste startende Paar zu bestimmen?[br][br]Verwende den Befehl "!" für Fakultät und "nCr" für den Binomialkoeffizient.
[img]data:image/png;base64,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[/img]