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Die gedoppelten Verbindungen mit und ohne Wiederholung zu bestimmten Summen und die Geschäfte explores mathematical combinations with and without repetition in the context of determining specific sums and their applications to business. Written by Arthur Arneth, this work delves into the intricacies of combinatorics and number theory, presenting methods for calculating and analyzing combinations to achieve desired numerical outcomes. It offers a unique perspective on how mathematical principles can be applied to solve practical problems in business and finance. This book will be of interest to mathematicians, economists, and anyone interested in the intersection of mathematics and economics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.