counting vs enumeration

counting and enumeration both are nouns.

Word	Noun	Adjective	Verb	Adverb
counting	Yes	No	No	No
enumeration	Yes	No	No	No

As nouns, counting and enumeration are synonyms defined as:

counting and enumeration: the act of counting; reciting numbers in ascending order

Other synonyms of counting include count, numeration, reckoning, tally.

counting (noun)	enumeration (noun)
the act of counting; reciting numbers in ascending order	the act of counting; reciting numbers in ascending order
	a numbered list