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The Coupon Collector's Problem is one of the few mathematical problems thatmake news headlines regularly. The reasons for this are on one hand the immensepopularity of soccer albums (called Paninimania) and on the other hand that nosolution is known that is able to take into account all effects such asreplacement (limited purchasing of missing stickers) or swapping. In previouspapers we have proven that the classical assumptions are not fulfilled inpractice. Therefore we define new assumptions that match reality. Based onthese assumptions we are able to derive formulae for the mean number ofstickers needed (and the associated standard deviation) that are able to takeinto account all effects that occur in practical collecting. Thus collectorscan estimate the average cost of completion of an album and its standarddeviation just based on elementary calculations. From a practical point of viewwe consider the Coupon Collector's problem as solved.    Das Sammelbilderproblem ist eines der wenigen mathematischen Probleme, dieregelm\"a{\ss}ig in den Schlagzeilen der Nachrichten vorkommen. Dies liegteinerseits an der gro{\ss}en Popularit\"at von Fu{\ss}ball-Sammelbildern(Paninimania genannt) und andererseits daran, dass es bisher keine L\"osunggibt, die alle relevanten Effekte wie Nachkaufen oder Tauschenber\"ucksichtigt. Wir haben bereits nachgewiesen, dass die klassischen Annahmennicht der Realit\"at entsprechen. Deshalb stellen wir neue Annahmen auf, diedie Praxis besser abbilden. Darauf aufbauend k\"onnen wir Formeln f\"ur diemittlere Anzahl ben\"otigter Bilder (sowie deren Standardabweichung) ableiten,die alle in der Praxis relevanten Effekte ber\"ucksichtigen. Damit k\"onnenSammler die mittleren Kosten eines Albums sowie deren Standardabweichung nurmit Hilfe von elementaren Rechnungen bestimmen. F\"ur praktische Zwecke ist dasSammelbilderproblem damit gel\"ost.

A Useful Solution of the Coupon Collector's Problem