Question

$\large \boxed{ \begin{array}{l} \sf \: quantos \: anagramas \: t\hat{e}m \: a \: \\ \sf \: palavra \: \underline{batata}\end{array}}$
ᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠᅠ
​

Answer 1

batata = 6!

a = 3!

t = 2!

Anagramas = 6! / (2! 3!)

Anagramas = 6*5*4*3! / ( 2! 3!)

Anagramas = 6*5*4 / 2

Anagramas = 60

Atte Colossoblack

Answer 2

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\mathsf{ \underbrace{\sf BATATA}_{\sf P_6^{3,2}}=\dfrac{6!}{3!\cdot2!}}$

$\mathsf{ P_6^{3,2}=\dfrac{6\cdot5\cdot4\cdot\diagup\!\!\!\!3!}{\diagup\!\!\!\!3!\cdot2}}$

$\mathsf{ P_6^{3,2}=\dfrac{120}{2}}$

$\boxed{\boxed{ \mathsf{ P_6^{3,2}=60}}}\leftarrow\textsf{anagramas}$