numismatics vs coin collecting

numismatics and coin collecting both are nouns.

Word	Noun	Adjective	Verb	Adverb
numismatics	Yes	No	No	No
coin collecting	Yes	No	No	No

As nouns, numismatics and coin collecting are synonyms defined as:

numismatics and coin collecting: the collection and study of money (and coins in particular)

Other synonyms of numismatics include coin collection, numismatology.

numismatics (noun)	coin collecting (noun)
the collection and study of money (and coins in particular)	the collection and study of money (and coins in particular)