Question

qual é o total de anagramas da palavras a seguir?

A. Corro
B. Cabana
C. Carro
D. Corpo
E. Ana​

Answer 1

Para visualizar a resposta acesse

https://brainly.com.br/tarefa/32058329?answering=true&answeringSource=undefined

$\tt{a)}~\sf{\underbrace{CORRO}_{P_5^{2,2}}=\dfrac{5!}{2!\cdot2!}}\\\sf{P_5^{2,2}=\dfrac{5\cdot\diagdown\!\!\!\!\!4^2\cdot3\cdot\diagdown\!\!\!\!\!2!}{\diagdown\!\!\!\!\!2!\cdot\diagdown\!\!\!\!2}}\\\sf{P_5^{2.2}=30~anagramas}$

$\tt{b)}~\sf{\underbrace{CABANA}_{P_6^3}=\dfrac{6!}{3!}}\\\sf{P_6^3=\dfrac{6\cdot5\cdot4\cdot3\cdot\diagdown\!\!\!\!\!2!}{\diagdown\!\!\!\!\!2!}}\\\sf{P_6^3=360~anagramas}$

$\tt{c)}~\sf{\underbrace{CARRO}_{P_5^2}=\dfrac{5!}{2!}}\\\sf{P_5^2=\dfrac{5\cdot4\cdot3\cdot\diagdown\!\!\!\!\!2!}{\diagdown\!\!\!\!\!2!}}\\\sf{P_5^2=60~anagramas}$

$\tt{d)}~\sf{\underbrace{CORPO}_{P_5^2}=\dfrac{5!}{2!}}\\\sf{P_5^2=60~anagramas}$

$\tt{e)}~\sf{\underbrace{ANA}_{P_3^2}=\dfrac{3!}{2!}}\\\sf{P_3^2=\dfrac{3\cdot\diagdown\!\!\!\!\!2!}{\diagdown\!\!\!\!\!2!}}\\\sf{P_3^2=3~anagramas}$