Question

Evaluate 4!7! divided by 6!8!

Answer 1

! is factorial
it means multipliy all numbers from 1 to that number together
example
1!=1
2!=2*1
3!=3*2*1
etc

some things to note
7!*8=8!
4!*5*6=6!


$\frac{(4!)(7!)}{(6!)(8!)}$
so we can rewrite it as
$\frac{(4!)(7!)}{(4!)(5)(6)(7!)(8)}$=
$\frac{1}{(5)(6)(8)}$=
$\frac{1}{240}$