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6 \mod 120\\ + x &= 0 \cdot 40 + 2 \cdot -24 + 3 \cdot -15 & x &= -93 \mod 120 & x &= 27 \mod 120\\ + x &= 0 \cdot 40 + 2 \cdot -24 + 6 \cdot -15 & x &= -138 \mod 120 & x &= 102 \mod 120\\ \end{align} \subsection*{10. Aufgabe} Angenommen, man erhält eine Klasseneinteilung --> dann sind alle Klassen nichtleer und paarweise disjunkt. Kann man nun für jede Klasse zeigen, dass $\vert C_{d} \vert = \varphi(d)$, so ist man fertig. \\ -- 2.47.3