analise combinatoria.pdf - Prof Marcelo Renato
analise combinatoria.pdf - Prof Marcelo Renato
analise combinatoria.pdf - Prof Marcelo Renato
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Permutação: Caso genérico<br />
Exemplo 18 Avalie P (n, 2) + P (n, 1), para n ≥ 2.<br />
P (n, 2) + P (n, 1) =<br />
= n · (n − 1) · (n − 2)!<br />
n!<br />
(n − 2)! +<br />
n!<br />
(n − 1)!<br />
(n − 2)!<br />
= n · (n − 1) + n<br />
= n 2 − n + n<br />
= n 2<br />
+ n · (n − 1)!<br />
(n − 1)!<br />
UFMG/ICEx/DCC Matemática Discreta 33
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