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This study aims to present a study of the techniques used to solve classical problems of counting that are considered the calculation of subsets of nonconsecutive elements from a given set of n and size. More precisely, present well concisely and in a language guided in mathematical rigor, how to so...
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| Formato: | postGraduateThesis |
| Idioma: | pt_BR |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/handle/123456789/43814 |
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| Resumo: | This study aims to present a study of the techniques used to solve classical problems of counting that are considered the calculation of subsets of nonconsecutive elements from a given set of n and size. More precisely, present well concisely and in a language guided in mathematical rigor, how to solve the mathematical problem called "Problems of couples" - If couples n are sitting at a circular table with numbered seats from 1 to 2n, where men and women are in alternate positions and women occupy the odd positions, what is the probability that no couple feels in adjacent positions? - In this perspective, the work provided a great learning experience in the study of combinatorial analysis and probability, as were covered detailed topics such as the principle of inclusion and exclusion and Lemas of Kaplansky, considered relevant to the achievement of study. However, it was possible to see how much is interesting, when the goal is lean is on a topic that compels the reader and / or researcher delve into topics that despite not being attacked during high school, deserve study and appreciated by all who want security to dominate the study of Combinatorial Analysis and Calculation of probabilities. |
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