The situation most likely to have correlation without causation is:
the number of cars in a city and the number of police officers in the city.
This is because while there may be a correlation (cities with more cars may also have more police officers), the presence of one does not necessarily cause the presence of the other. The number of police officers is more likely influenced by factors such as crime rates, population size, and city policies, rather than by the mere number of cars.
In the other examples provided, the relationships seem to indicate a more direct causation or dependence (e.g., the number of desks would correlate directly with the number of people in an office).