Answer
expect an "error" message,
$39,800$
Work Step by Step
Most calculators will return an error message, because both factorials are HUGE numbers (larger than the calculator can represent, $9.999999\times 10^{99}).$
Try 69! and 70! on your calculator to see the problem.
We overcome this problem by noting that
$200!=200\cdot 199!=200\cdot 199\cdot 198!$,
rewriting the fraction,
$\displaystyle \frac{200!}{198!}=\frac{200\cdot 199\cdot 198!}{198!}$,
and reducing the fraction (with $198!)$
to obtain
$200\cdot 199=39,800$
