ball club vs nine

ball club and nine both are nouns.

Word	Noun	Adjective	Verb	Adverb
ball club	Yes	No	No	No
nine	Yes	Yes	No	No

As nouns, ball club and nine are synonyms defined as:

ball club and nine: a team of professional baseball players who play and travel together

Other synonyms of ball club include baseball club, club.

ball club (noun)	nine (noun)
a team of professional baseball players who play and travel together	one of four playing cards in a deck with nine pips on the face
	a team of professional baseball players who play and travel together
	the cardinal number that is the sum of eight and one

ball club (adjective)	nine (adjective)
	denoting a quantity consisting of one more than eight and one less than ten