Ist es für eine Person mit einer Faktor-V-Leiden-Mutation ratsam Sport zu machen? Wenn ja, welchen Sport, wie oft und wie intensiv?

Exercise is great. It helps keep our hearts healthy and keeps our blood moving. Unless your doctor specifically tells you to avoid certain kinds of exercises, get moving. Swimming is a great way to get cardio while being low impact on your legs.
Also standing up periodically and walking around for a few minutes if you sit for long periods of time is very good to prevent clot formations. Sitting with your legs propped up is a great way as well to reduce any swelling and help move blood from your legs.