military vs armed services

military and armed services both are nouns.

Word	Noun	Adjective	Verb	Adverb
military	Yes	Yes	No	No
armed services	Yes	No	No	No

As nouns, military and armed services are synonyms defined as:

Other synonyms of military include armed forces, military machine, war machine.

military (noun)	armed services (noun)
the military forces of a nation	the military forces of a nation

military (adjective)	armed services (adjective)
associated with or performed by members of the armed services as contrasted with civilians
characteristic of or associated with soldiers or the military
of or relating to the study of the principles of warfare