choice of words vs wording

choice of words and wording both are nouns.

Word	Noun	Adjective	Verb	Adverb
choice of words	Yes	No	No	No
wording	Yes	No	No	No

As nouns, choice of words and wording are synonyms defined as:

choice of words and wording: the manner in which something is expressed in words

Other synonyms of choice of words include diction, phraseology, phrasing, verbiage.

choice of words (noun)	wording (noun)
the manner in which something is expressed in words	the manner in which something is expressed in words