Question

Quantos são os Amagramas da palavra AMANHECE ?

Answer 1

2 2

P = 8 = 8! / 2! 2!


P = 40320 / 4


P = 10080




resposta : 10.080 anagramas

Answer 2

$\mathsf{\underbrace{AMANHECE}_{\large P_8^{2,2}}=\dfrac{8!}{2!\cdot2!}}\\\mathsf{\dfrac{8\cdot7\cdot6\cdot5\cdot \diagup\!\!\!\!4\cdot3\cdot\diagup\!\!\!\!2!}{\diagup\!\!\!\!2!\cdot\diagup\!\!\!\!2}=10080}$