Abstract
Let a set S of mn things be divided into m classes of n things each in two distinct ways, (a) and (b); so that there are m (a)-classes and m (b)-classes. Then it is always possible to find a set R of m things of S which is at one and the same time a C.S.R. (= complete system of rcpresentatives) for the (a)-classes, and also a C.S.R. for the (b)-classes.
†Received 23 April, 1934; read. 26 April, 1934.
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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC
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Hall†, P. (2009). On Representatives of Subsets. In: Gessel, I., Rota, GC. (eds) Classic Papers in Combinatorics. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4842-8_4
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