coach-and-four vs four-in-hand

coach-and-four and four-in-hand both are nouns.

Word	Noun	Adjective	Verb	Adverb
coach-and-four	Yes	No	No	No
four-in-hand	Yes	No	No	No

As nouns, coach-and-four and four-in-hand are synonyms defined as:

coach-and-four and four-in-hand: a carriage pulled by four horses with one driver

Other synonyms of coach-and-four include coach.

coach-and-four (noun)	four-in-hand (noun)
a carriage pulled by four horses with one driver	a carriage pulled by four horses with one driver
	a long necktie that is tied in a slipknot with one end hanging in front of the other