carte du jour vs bill of fare

carte du jour and bill of fare both are nouns.

Word	Noun	Adjective	Verb	Adverb
carte du jour	Yes	No	No	No
bill of fare	Yes	No	No	No

As nouns, carte du jour and bill of fare are synonyms defined as:

carte du jour and bill of fare: a list of dishes available at a restaurant

Other synonyms of carte du jour include card, carte, menu.

carte du jour (noun)	bill of fare (noun)
a list of dishes available at a restaurant	a list of dishes available at a restaurant