Montmort's problem, Burnside's Lemma and Bell's numbers
For a set of n discernible objects, the probability of choosing at random a permutation with m objects fixed is determined with the help of the generating function method. It is shown that the expected number of objects left fixed is one, which represents a special interpretation of Burnside'...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2005-09-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9674 |