counting vs sperm count

counting and sperm count both are nouns.

Word	Noun	Adjective	Verb	Adverb
counting	Yes	No	No	No
sperm count	Yes	No	No	No

As nouns, sperm count is a hyponym of counting; that is, sperm count is a word with a more specific, narrower meaning than counting:

counting: the act of counting; reciting numbers in ascending order
sperm count: the act of estimating the number of spermatozoa in an ejaculate

Other hyponyms of counting include blood count, census, nose count, nosecount, countdown, miscount, poll, recount.

counting (noun)	sperm count (noun)
the act of counting; reciting numbers in ascending order	the act of estimating the number of spermatozoa in an ejaculate
	the number of sperm in an ejaculate