police wagon vs paddy wagon

police wagon and paddy wagon both are nouns.

Word	Noun	Adjective	Verb	Adverb
police wagon	Yes	No	No	No
paddy wagon	Yes	No	No	No

As nouns, police wagon and paddy wagon are synonyms defined as:

Other synonyms of police wagon include black Maria, patrol wagon, police van, wagon.

police wagon (noun)	paddy wagon (noun)
van used by police to transport prisoners	van used by police to transport prisoners