like vs variety

like and variety both are nouns.

Word	Noun	Adjective	Verb	Adverb
like	Yes	Yes	Yes	No
variety	Yes	No	No	No

As nouns, variety is a hypernym of like; that is, variety is a word with a broader meaning than like:

like: a kind of person
variety: a category of things distinguished by some common characteristic or quality

Other hypernyms of like include form, kind, sort.

As nouns, variety is a hypernym of like; that is, variety is a word with a broader meaning than like:

like: a similar kind
variety: a category of things distinguished by some common characteristic or quality

Other hypernyms of like include form, kind, sort.

like (noun)	variety (noun)
a kind of person	noticeable heterogeneity
a similar kind	a difference that is usually pleasant
	a category of things distinguished by some common characteristic or quality
	a show consisting of a series of short unrelated performances
	(biology) a taxonomic category consisting of members of a species that differ from others of the same species in minor but heritable characteristics
	a collection containing a variety of sorts of things

like (adjective)	variety (adjective)
resembling or similar; having the same or some of the same characteristics; often used in combination
equal in amount or value
having the same or similar characteristics
conforming in every respect

like (verb)	variety (verb)
feel about or towards; consider, evaluate, or regard
to hope, to desire or to prefer to have something, or to do something
be fond of
find enjoyable or agreeable
want to have