nose count vs reckoning

nose count and reckoning both are nouns.

Word	Noun	Adjective	Verb	Adverb
nose count	Yes	No	No	No
reckoning	Yes	No	No	No

As nouns, reckoning is a hypernym of nose count; that is, reckoning is a word with a broader meaning than nose count:

Other hypernyms of nose count include count, counting, enumeration, numeration, tally.

nose count (noun)	reckoning (noun)
a periodic count of the population	the act of counting; reciting numbers in ascending order
	problem solving that involves numbers or quantities
	a bill for an amount due