military machine vs armed services

military machine and armed services both are nouns.

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

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

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

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