Counting Derangements, Non Bijective Functions and the Birthday Problem

Cezary Kaliszyk

Formalized Mathematics (2010)

  • Volume: 18, Issue: 4, page 197-200
  • ISSN: 1426-2630

Abstract

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The article provides counting derangements of finite sets and counting non bijective functions. We provide a recursive formula for the number of derangements of a finite set, together with an explicit formula involving the number e. We count the number of non-one-to-one functions between to finite sets and perform a computation to give explicitely a formalization of the birthday problem. The article is an extension of [10].

How to cite

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Cezary Kaliszyk. "Counting Derangements, Non Bijective Functions and the Birthday Problem." Formalized Mathematics 18.4 (2010): 197-200. <http://eudml.org/doc/266571>.

@article{CezaryKaliszyk2010,
abstract = {The article provides counting derangements of finite sets and counting non bijective functions. We provide a recursive formula for the number of derangements of a finite set, together with an explicit formula involving the number e. We count the number of non-one-to-one functions between to finite sets and perform a computation to give explicitely a formalization of the birthday problem. The article is an extension of [10].},
author = {Cezary Kaliszyk},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {197-200},
title = {Counting Derangements, Non Bijective Functions and the Birthday Problem},
url = {http://eudml.org/doc/266571},
volume = {18},
year = {2010},
}

TY - JOUR
AU - Cezary Kaliszyk
TI - Counting Derangements, Non Bijective Functions and the Birthday Problem
JO - Formalized Mathematics
PY - 2010
VL - 18
IS - 4
SP - 197
EP - 200
AB - The article provides counting derangements of finite sets and counting non bijective functions. We provide a recursive formula for the number of derangements of a finite set, together with an explicit formula involving the number e. We count the number of non-one-to-one functions between to finite sets and perform a computation to give explicitely a formalization of the birthday problem. The article is an extension of [10].
LA - eng
UR - http://eudml.org/doc/266571
ER -

References

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