Question

Urgenteee


calcule 8! / 4!+6!

Answer 1

Resposta:

$\frac{8!}{4!}+6!=2400$

Explicação passo-a-passo:

$\frac{8!}{4!}+6!\\ \mathrm{Cancelar\:}\frac{8!}{4!}:\quad 1680\\ \frac{8!}{4!}\\ \mathrm{Eliminar\:os\:fatoriais}:\quad \frac{n!}{\left(n-m\right)!}=n\cdot \left(n-1\right)\cdots \left(n-m+1\right),\:n>m\\ \frac{8!}{4!}=8\cdot \:7\cdot \:6\cdot \:5\\ =8\cdot \:7\cdot \:6\cdot \:5\\ \mathrm{Simplificar}\\ =1680\\ =1680+6!$

$6!=720\\ 6!\\ \mathrm{Aplicar\:o\:fatorial}:\quad \:n!=1\cdot 2\cdot 3\cdot \ldots \cdot \:n\\ 6!=1\cdot \:2\cdot \:3\cdot \:4\cdot \:5\cdot \:6\\ =1\cdot \:2\cdot \:3\cdot \:4\cdot \:5\cdot \:6\\ \mathrm{Multiplicar\:os\:numeros:}\:1\cdot \:2\cdot \:3\cdot \:4\cdot \:5\cdot \:6=720\\ =720\\ =1680+720\\ \mathrm{Somar:}\:1680+720=2400\\ =2400$

Answer 2

Resposta:

$= \frac{8!}{6! + 4!} \\ = \frac{8 \times 7 \times 6 \times 5 \times 4! }{(6 \times 5 \times 4!) + 4!} \\ = \frac{4!(8 \times 7 \times 6 \times 5 )}{4!(6 \times 5 + 1) } \\ = \frac{56 \times 30}{31} \\ = 1680 \div 31 \\ = 54.19$