Question

Quantos são os anagramas da palavra CARAPICUÍBA? * Quantos são os anagramas da palavra TUCUNDUVA? * Quantos anagramas tem a palavra CRETTI? *

Answer 1

Para visualizar a resposta acesse

https://brainly.com.br/tarefa/31919261?answering=true&answeringSource=greatJob%2FquestionPage%2F1

$\sf{\underbrace{CARAPICU\acute{I}BA}_{P_{11}^{3,2}}=\dfrac{11!}{3!\cdot2!}}\\\sf{\dfrac{11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot\diagdown\!\!\!\!4^2\cdot\diagdown\!\!\!\!\!\!3!}{\diagdown\!\!\!\!\!\!3!\cdot\diagdown\!\!\!\!2}}\\\sf{P_{11}^{3,2}=3326400}$

$\sf{\underbrace{TUCUNDUVA}_{P_9^3}=\dfrac{9!}{3!}}\\\sf{P_9^3=\dfrac{9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot\diagdown\!\!\!\!3!}{\diagdown\!\!\!\!3!}=60480}$

$\sf{\underbrace{CRETTI}_{P_6^2}=\dfrac{6!}{2!}}\\\sf{\dfrac{6\cdot5\cdot4\cdot3\cdot\diagdown\!\!\!\!2!}{\diagdown\!\!\!\!2!}=360}$