Question

Matematica fatorial 6!7!÷9!8!​

Answer 1

Observe que:

$8! = 8 \times 7! \\ \\ e \\ \\ 9! = 9 \times 8 \times 7 \times 6!$

Agora a questão:

$\dfrac{6! \times7! }{(9!) \times (8!)} \\ \\ \dfrac{6! \times7! }{(9 \times 8 \times 7 \times 6!) \times (8 \times 7!)} \\ \\ \frac{1}{9 \times 8 \times 7 \times 8} \\ \\ \frac{1}{9 \times 8 {}^{2} \times 7 } \\ \\ \frac{1}{4032}$