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Combinatorics of Permutations, 2nd Edition
book

Combinatorics of Permutations, 2nd Edition

by Miklos Bona
April 2016
Intermediate to advanced content levelIntermediate to advanced
478 pages
14h 44m
English
Chapman and Hall/CRC
Content preview from Combinatorics of Permutations, 2nd Edition
6
Mean and Insensitive. Random
Permutations.
6.1 The Probabilistic Viewpoint
In the previous chapters we have enumerated permutations according to var-
ious statistics. A similar line of research is to choose an n-permutation p at
random, and compute the probability of the event that p has a given property
A. Throughout this chapter, when we say that we select an n-permutation
at random, we mean that each of the n! permutations of length n are chosen
with probability 1/n!.
Theoretically speaking, this is not a totally new approach. Indeed, the
probability of success (that is, the event that p has property A) is defined as
the number of favorable outcomes ...
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Publisher Resources

ISBN: 9781439850527