First, there's clearly a difference between {firstName, lastName}->{licensePlateNumber, type} and {licensePlateNumber, type}->{firstName, lastName}. In symbolic notation, you'd have A->B and B->A. Those two are clearly different.
Second, both those together do seem to capture the requirement you're interested in.
Third, I'd expect license plate number alone to uniquely identify a car. But that doesn't change the substance of your question or of my answer.