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analise combinatoria.pdf - Prof Marcelo Renato

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Permutação: Caso genérico<br />

Exemplo 17 Avalie as seguintes permutações:<br />

(a) P (5, 2).<br />

P (5, 2) =<br />

5!<br />

(5 − 2)!<br />

= 5 · 4 · 3!<br />

3!<br />

= 20<br />

(b) Quantidade de permutações de tamanho 4 de um conjunto de 7 objetos.<br />

P (7, 4) =<br />

7!<br />

(7 − 4)!<br />

= 7 · 6 · 5 · 4 · 3!<br />

3!<br />

= 840<br />

UFMG/ICEx/DCC Matemática Discreta 32

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