Calcule a quantidade de anagramas da palavra LARANJA​

Resposta :

[tex]\large\boxed{\begin{array}{l}\sf\underbrace{\sf LARANJA}_{\sf P_7^3}=\dfrac{7!}{3!}\\\\\sf P_7^3=\dfrac{7.6.5.4.\diagup\!\!\!\!3!}{\diagup\!\!\!\!3!}=840\, anagramas\end{array}}[/tex]