military vs armed forces

military and armed forces both are nouns.

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

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

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

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

military (adjective)	armed forces (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