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Permutation Problems and Special Functions

Published online by Cambridge University Press:  20 November 2018

Richard Askey  and
Mourad E. H. Ismail
Richard Askey
Affiliation:
The University of Wisconsin, Madison, Wisconsin
Mourad E. H. Ismail
Affiliation:
The University of Wisconsin, Madison, Wisconsin
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Suppose we have n events Ai, … , An and let p(Aj1 … , Ajk) be the probability that the events Ah, . . . , Ajk occur jointly. The probability P0 that none of Ai, . . . , An occur is given by Poincaré's formula, the probabilistic version of the principle of inclusion and exclusion:

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 4 , 01 August 1976 , pp. 853 - 874
Copyright
Copyright © Canadian Mathematical Society 1976

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