Questão c6d5f14d-af
Prova:UFU-MG 2010
Disciplina:Matemática
Assunto:Análise Combinatória em Matemática
Uma equipe de natação, composta por 8 atletas (6 homens e 2 mulheres), ficará hospedada no sexto andar de um
hotel durante a realização de um torneio de natação. Este andar possui oito quartos numerados e dispostos de forma
circular, conforme a figura abaixo. Sabendo que os atletas ficarão em quartos individuais e que as mulheres não ficarão em
quartos adjacentes, então o número de maneiras distintas de alocar estes atletas nestes oito quartos é igual a:
![](data:image/png;base64,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)
Uma equipe de natação, composta por 8 atletas (6 homens e 2 mulheres), ficará hospedada no sexto andar de um hotel durante a realização de um torneio de natação. Este andar possui oito quartos numerados e dispostos de forma circular, conforme a figura abaixo. Sabendo que os atletas ficarão em quartos individuais e que as mulheres não ficarão em quartos adjacentes, então o número de maneiras distintas de alocar estes atletas nestes oito quartos é igual a:
A
40 x 6!
B
4 x 5! x 5!
C
8 x 5!
D