Final answer:
Armed personnel can use deadly force for self-defense, protecting classified information, and preventing the escape of a dangerous felon, but not merely for preventing destruction of military property.
Step-by-step explanation:
Armed personnel are authorized to use deadly force in various serious situations to ensure the protection of lives and security. These generally include scenarios such as self-defense when faced with an imminent threat to life or bodily harm, protecting classified information which could compromise national security if disclosed, and preventing the escape of a fleeing felon who poses a significant threat to public safety.
However, the use of deadly force is not authorized indiscriminately. Among the options provided, deadly force is not authorized for simply preventing the destruction of military property, unless that destruction could directly lead to death or serious bodily harm.