According to the Supreme Court in New York V

According to the Supreme Court in New York v.Belton,involving a search of the passenger compartment of a car and its contents incident to an arrest:

A) police may always search if they have probable cause to do so.
B) officers must have probable cause to search the passenger compartment.
C) when a police officer has made a lawful custodial arrest of the occupant of an automobile a contemporaneous search of the passenger compartment is incident to the arrest.
D) officers may search containers found in the passenger compartment if they have reasonable suspicion the containers hold contraband or weapons.