Question

Anagrama da palavra "professores"

Answer 1

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\mathsf{ \underbrace{\sf PROFESSORES }_{\sf P_{11}^{3,2,2,2}}=\dfrac{11!}{3!\cdot(2!)^3}}$

$\mathsf{ P_{11}^{3,2,2,2}=\dfrac{11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot\diagup\!\!\!\!3!}{\diagup\!\!\!\!3!\cdot(2!)^3}}$

$\mathsf{P_{11}^{3,2,2,2}=\dfrac{6652800}{8} }$

$\boxed{\boxed{ \mathsf{ P_{11}^{3,2,2,2}=831600}}}\leftarrow\blue{\textsf{total de anagramas}}$