Sport: "le sport", "les sport", "des sports"
An audio I recently listened to had the French equivalents of sentences such as "I like sport." It variously used "le sport", "les sports" and "des sports" without differences in meaning as far as I could tell.
What are the nuances in meaning? Are "le sport" and "les sports" generally interchangeable in sentences referring to sports generally? (For example, "Il aime bien le sport" and "Elle aime vraiment les sports.") Would "des sports" be appropriate when you mean something like "I like a few different types of sport." rather than talking about sport generally?