Question

Calcule o valor ou simplifique.

    7!
    -
    4!

Answer 1

$n!=n*(n-1)*(n-2)*(n-3)...3*2*1$
$n!=n*(n-1)!=n*(n-1)*(n-2)!=...$
_____________________

$7! - 4!=7*6*5*4! - 4!$
$7!-4!= 4!(7*6*5 - 1)$
$7! - 4!= 4!(210-1)$
$7!-4!=4*3*2*1(209)$
$7!-4!=24*209$
$7!-4!=5016$


$7! / 4! = 7*6*5*4!/4!=7*6*5=210$

Answer 2

$\boxed{ \frac{7!}{4!} = \frac{7.6.5.\not4!}{\not4!} =210}$