Question

Determine quantos anagramas possui a palavra ARAQUARI. 

640 anagramas.

1120 anagramas.

3360 anagramas.

6270 anagramas.

40320 anagramas

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Answer 1

$\sf{\underbrace{ARAQUARI}_{P_8^{3,2}} =\dfrac{8!}{3!\cdot2!}}\\\sf{\dfrac{8\cdot7\cdot6\cdot5\cdot \diagup\!\!\!\!4\cdot\diagup\!\!\!\!3!}{\diagup\!\!\!\!3!\cdot \diagup\!\!\!\!2}=8\cdot7\cdot6\cdot5\cdot2=3360}$

Answer 2

Resposta:

$\text{Leia abaixo}$

Explicação passo-a-passo:

$\text{P}_8^{3,2} = \dfrac{8!}{3!.2!} = \dfrac{6.720}{2} = 3.360$