counting vs investigating

counting and investigating both are nouns.

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

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

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

Other hypernyms of counting include investigation.

counting (noun)	investigating (noun)
the act of counting; reciting numbers in ascending order	the work of inquiring into something thoroughly and systematically