Among the activities listed, swimming a 50 meter freestyle race would mostly rely on the aerobic system.
While all three activities involve various energy systems to some degree, the 50-meter freestyle is a short-distance sprint that can heavily engage anaerobic energy systems, especially during the race itself. However, swimming over longer distances would primarily utilize the aerobic system to maintain endurance and recovery in training.
On the other hand, sprinting 200 meters at the Olympics is mainly anaerobic, as it involves a high-intensity effort over a relatively short duration.
Downhill skiing at a resort can also involve anaerobic bursts, particularly during the actual runs, as it is a high-intensity activity. However, it does generally require enough endurance for that duration, thus having some reliance on the aerobic system as well.
In summary, while swimming may utilize both systems, it leans towards anaerobic, while the longer and less intense engagements in downhill skiing have some aerobic component. Nevertheless, swimming 50 meters does swing toward anaerobic due to short duration and high intensity.