ash-bin vs trash bin

ash-bin and trash bin both are nouns.

Word	Noun	Adjective	Verb	Adverb
ash-bin	Yes	No	No	No
trash bin	Yes	No	No	No

As nouns, ash-bin and trash bin are synonyms defined as:

Other synonyms of ash-bin include ash bin, ashbin, ashcan, dustbin, garbage can, trash barrel, trash can, wastebin.

ash-bin (noun)	trash bin (noun)
a bin that holds rubbish until it is collected	a bin that holds rubbish until it is collected