carry off vs win

carry off is not a noun while win is a noun.

Word	Noun	Adjective	Verb	Adverb
carry off	No	No	Yes	No
win	Yes	No	Yes	No

As verbs, win is a hypernym of carry off; that is, win is a word with a broader meaning than carry off:

Other hypernyms of carry off include bring home the bacon, come through, deliver the goods, succeed.

carry off (noun)	win (noun)
	a victory (as in a race or other competition)
	something won (especially money)

carry off (verb)	win (verb)
kill in large numbers	be the winner in a contest or competition; be victorious
remove from a certain place, environment, or mental or emotional state; transport into a new location or state	obtain advantages, such as points, etc.
be successful; achieve a goal	win something through one's efforts
	acquire or deserve by one's efforts or actions
	attain success or reach a desired goal