counting vs investigation

counting and investigation both are nouns.

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

As nouns, investigation is a hypernym of counting; that is, investigation is a word with a broader meaning than counting:

counting: the act of counting; reciting numbers in ascending order
investigation: the work of inquiring into something thoroughly and systematically

Other hypernyms of counting include investigating.

counting (noun)	investigation (noun)
the act of counting; reciting numbers in ascending order	the work of inquiring into something thoroughly and systematically
	an inquiry into unfamiliar or questionable activities