Question

Considere a palavra QUARENTENA, quantos são os anagramas que possuem as letras QU juntas, nessa ordem ?


Escolha uma opção:
a. 4 860
b. 362 880
c. 90 720
d. 45 360
e. 10 080

Answer 1

$\small\boxed{\begin{array}{l}\sf\underbrace{\sf\boxed{\sf QU}ARENTENA}_{P_9^{2,2,2}}\\\sf P_9^{2,2,2}=\dfrac{9!}{2!\cdot2!\cdot2!}=\dfrac{9\cdot8\cdot7\cdot6\cdot5\cdot\backslash\!\!\!\!4\cdot3\cdot\diagup\!\!\!2!}{\diagup\!\!\!\!2!\cdot\backslash\!\!\!4}=\red{45360}\blue{\checkmark}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\red{\maltese}\blue{~alternativa~d}}}}} \end{array}}$