Question

Quantos Anagramas tem a palavra PRATELEIRA?

QUANTOS ANAGRAMAS TEM A PALAVRA PLOBLEMA?​

Answer 1

Quantos anagramas tem

a palavra PRATELEIRA

$\large\boxed{\begin{array}{l} \underbrace{ \sf{PRATELEIRA}} \\ \rm \: \: \: \: \: \: \: \: \: \: \: \: P_{10}^{2,2,2} \\ \\ \rm \: P_{10}^{2,2,2} = \dfrac{10!}{2! \: . \: 2! \: . \: 2!} \\ \\ \rm \: P_{10}^{2,2,2} = \dfrac{3628800}{8} \\ \\ \boxed{ \rm{P_{10}^{2,2,2} = 453600 \:anagramas }} \checkmark\end{array}}$

quantos anagramas tem a palavra PLOBLEMA

$\large \boxed{ \begin{array}{l} \underbrace{ \sf{PLOBLEMA}} \\ \rm \: \: \: \: \: \: \: \: \: \: P_8 {}^{2} \\ \\ \rm \: P_8 {}^{2} = \dfrac{8!}{2!} \\ \\ \rm \: P_8 {}^{2} = \dfrac{40320}{2} \\ \\ \boxed{ \rm{P_8 {}^{2} = 20160 \: anagramas}} \checkmark\end{array}}$