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A Problem in Combinations

Published online by Cambridge University Press:  20 January 2009

Alexander Robertson
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Given sets of balls of different colours, in how many ways may they be arranged in line so that no two balls of the same colour shall come together.

If we have two colours only, and the same number ‘m of each colour, there are evidently two arrangements possible; if we have m, m – 1 respectively, only one arrangement is possible; if we have m, m – 2 ; in, m – 3, &c., no arrangement is possible. We may write these results

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , February 1885 , pp. 78 - 87
Copyright
Copyright © Edinburgh Mathematical Society 1885