profession vs education

profession and education both are nouns.

Word	Noun	Adjective	Verb	Adverb
profession	Yes	No	No	No
education	Yes	No	No	No

As nouns, education is a hyponym of profession; that is, education is a word with a more specific, narrower meaning than profession:

profession: an occupation requiring special education (especially in the liberal arts or sciences)
education: the profession of teaching (especially at a school or college or university)

Other hyponyms of profession include learned profession, literature, architecture, journalism, politics, engineering.

profession (noun)	education (noun)
an occupation requiring special education (especially in the liberal arts or sciences)	the activities of educating or instructing; activities that impart knowledge or skill
an open avowal (true or false) of some belief or opinion	the profession of teaching (especially at a school or college or university)
affirmation of acceptance of some religion or faith	the result of good upbringing (especially knowledge of correct social behavior)
the body of people in a learned occupation	knowledge acquired by learning and instruction
	the gradual process of acquiring knowledge