Counting Derangements, Non Bijective Functions and the Birthday Problem

• Autorzy: Cezary Kaliszyk
• Języki publikacji: EN

Abstrakty

EN

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].

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2010
• Tom: 18
• Numer: 4
• Strony: 197-200

Daty

wydano

2010-01-01

online

2011-01-05

Twórcy

autor

Cezary Kaliszyk

• Institut für Informatik I4, Techische Universität München, Boltzmannstraße 3 85748 Garching, Germany

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-010-0023-9