Final answer:
The term describing the absence of both people and property from the premises is 'vacant'. This term indicates that the premises are empty of both occupants and belongings, differing from unoccupied, abandoned, or deserted which have nuanced meanings.
Step-by-step explanation:
The term that describes the absence of both people and property from the premises is vacant. When a property is vacant, it means there are no occupants or personal belongings within the space. This is different from a property being unoccupied, which may still contain belongings even when people are not present. Abandoned suggests that the property has been deserted and its owners have no intention to return, while deserted often carries a similar meaning but may not imply permanence as abandonment does.