Question

calcule o arranjo
A9,8​

Answer 1

Resposta:

Explicação passo-a-passo:

Temos que

A_{9,8}[/tex] = $\frac{9!}{(9-8)!}=\frac{9!}{1!}=9! = 9.8.7.6.5.4.3.2.1 =  362880$

Answer 2

✅ Após finalizar os cálculos, concluímos que o resultado do arranjo simples é:

  $\LARGE\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf A_{9,\:8}= 362880\:\:\:}}\end{gathered} }$

Seja o arranjo:

                     $\LARGE\displaystyle\begin{gathered} A_{9,\:8}\end{gathered}$

Para calcular o referido arranjo, devemos fazer:

    $\LARGE \text { \begin{aligned}A_{9,\:8} & = \frac{9!}{(9 - 8)!}\\& = \frac{9!}{1!}\\& = \frac{9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot{\!\diagup\!\!\!\!1!}}{\!\diagup\!\!\!\!1!}\\& = 9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\\& = 362880\end{aligned} }$

✅ Portanto:

      $\Large\displaystyle\begin{gathered} A_{9,\:8} = 362880\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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