The following regulation talks about the first car of a team. Since the cars carry driver names and numbers, I didn't think that the teams have to officially determine their first cars.
To help distinguish between a team’s two cars, the onboard cameras which sit on top of the main rollover structure are coloured differently. On the first car it must remain as it is supplied to the team (black) and on the second car it must be predominantly fluorescent yellow.
In most cases we can guess which driver is driving the first car, but sometimes this is not so obvious. In addition, I don't see any clear indication about the first car/driver while watching GPs on TV. Maybe the driver on top is the first driver.
So, how do they determine the first car/driver to declare to FIA?