entertainment vs show

entertainment and show both are nouns.

Word	Noun	Adjective	Verb	Adverb
entertainment	Yes	No	No	No
show	Yes	No	Yes	No

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

entertainment: an activity that is diverting and that holds the attention
show: an act or social event involving a public performance or entertainment

Other hyponyms of entertainment include beguilement, distraction, edutainment, extravaganza, militainment, night life, nightlife.

entertainment (noun)	show (noun)
an activity that is diverting and that holds the attention	an act or social event involving a public performance or entertainment
	pretending that something is the case in order to make a good impression
	something intended to communicate a particular impression

entertainment (verb)	show (verb)
	establish the validity of something, as by an example, explanation or experiment
	provide evidence for
	indicate a place, direction, person, or thing; either spatially or figuratively
	give expression to
	give evidence of, as of records
	indicate a certain reading; of gauges and instruments
	finish third or better in a horse or dog race
	show in, or as in, a picture
	take (someone) to their seats, as in theaters or auditoriums
	make visible or noticeable
	be or become visible or noticeable
	give an exhibition of to an interested audience