ballet vs choreography

ballet and choreography both are nouns.

Word	Noun	Adjective	Verb	Adverb
ballet	Yes	No	No	No
choreography	Yes	No	No	No

As nouns, choreography is a hypernym of ballet; that is, choreography is a word with a broader meaning than ballet:

ballet: a theatrical representation of a story that is performed to music by trained dancers
choreography: a show involving artistic dancing

Other hypernyms of ballet include stage dancing.

ballet (noun)	choreography (noun)
a theatrical representation of a story that is performed to music by trained dancers	a show involving artistic dancing
music written for a ballet	the representation of dancing by symbols as music is represented by notes
	a notation used by choreographers