Question

Simplifique a expressão: 10!.4!/8! =

Answer 1

$\boxed{\begin{array}{lr} \: \: \: \: \color{cyan}Resolução : \\ \\ 10 !\times \frac{4!}{8!} = \\ \\10 !\times \frac{4!}{8 \times 7 \times 6 \times 5 \times 4!} \\ \\ 10 !\times \frac{1}{8 \times 7 \times 6 \times 5} \\ \\ 10 !\times \frac{1}{1680} \\ \\ \frac{10!}{1680} \\ \\ \frac{3628800}{1680} \\ \\ \boxed{\boxed{\boxed{\color{darkturquoise}{  2160 }}}} \end{array}}$

Espero ter colaborado, bons estudos❤.