Most experts recommend harder, more resilient flooring options for basement floors for several reasons. Under the best circumstances, keeping a basement as dry as your ground floor can be difficult due to issues of humidity, which makes carpeting riskier.
If a pipe bursts in your home or your basement ever leaks during a storm due to drainage or sump pump issues, resilient flooring will help minimize damage. Of course, you can ultimately choose any flooring you like — just know the risks and take steps to alleviate them where possible.