province vs responsibility

province and responsibility both are nouns.

Word	Noun	Adjective	Verb	Adverb
province	Yes	No	No	No
responsibility	Yes	No	No	No

As nouns, province and responsibility are synonyms defined as:

province and responsibility: the proper sphere or extent of your activities

province (noun)	responsibility (noun)
the territory occupied by one of the constituent administrative districts of a nation	the social force that binds you to the courses of action demanded by that force
the proper sphere or extent of your activities	a form of trustworthiness; the trait of being answerable to someone for something or being responsible for one's conduct
	the proper sphere or extent of your activities