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A Problem in Combinations

Published online by Cambridge University Press:  31 October 2008

A. C. Aitken
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1. If there are n individuals A1, A2,.…, An, in how many ways can they be put into groups? For example, if there are three individuals A, B, C, they may be grouped as

that is, in 5 ways, the respective subgroups, 1, 3, 1 in number, corresponding to the partitions 1 + 1 + 1, 1 + 2, 3 of the integer 3. Hence P (3), say, is 5.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 28 , January 1933 , pp. xviii - xxiii
Copyright
Copyright © Edinburgh Mathematical Society 1933