nosecount vs numeration

nosecount and numeration both are nouns.

Word	Noun	Adjective	Verb	Adverb
nosecount	Yes	No	No	No
numeration	Yes	No	No	No

As nouns, numeration is a hypernym of nosecount; that is, numeration is a word with a broader meaning than nosecount:

Other hypernyms of nosecount include count, counting, enumeration, reckoning, tally.

nosecount (noun)	numeration (noun)
a periodic count of the population	the act of counting; reciting numbers in ascending order
	naming numbers