[ Numerical inequalities. Comparisons of numbers.]

[ Products and factorials ]

If the factorial operation is applied 99 times to the number 100, the resulting number is $A$. If the factorial operation is applied 100 times to the number 99, the resulting number is $B$. Which of these two numbers is larger?
Since $99!>100$, then $A<B$.

## Otvet

$A<B$.
Task