Question

Calcule:
$\frac{7!.6!}{4!.5!}$

Answer 1

$\large\begin{array}{l} \textsf{Calcular a express\~ao em envolve fatoriais:}\\\\ \mathsf{\dfrac{7!\cdot 6!}{4!\cdot 5!}}\\\\ =\mathsf{\dfrac{(7\cdot 6\cdot 5\cdot \diagup\!\!\!\!\! 4!)\cdot (6\cdot \diagdown\!\!\!\!\! 5!)}{\diagup\!\!\!\!\! 4!\cdot \diagdown\!\!\!\!\! 5!}}\\\\ =\mathsf{7\cdot 6\cdot 5\cdot 6}\\\\ =\mathsf{42\cdot 5\cdot 6}\\\\ =\mathsf{210\cdot 6}\\\\ =\boxed{\begin{array}{c}\mathsf{1\,260} \end{array}}\quad\longleftarrow\quad\textsf{esta \'e a resposta.} \end{array}$


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$\large\begin{array}{l} \textsf{D\'uvidas? Comente.}\\\\\\ \textsf{Bons estudos! :-)} \end{array}$


Tags: fatorial expressão calcular valor simplificar cancelamento fator fração