sperm count vs count

sperm count and count both are nouns.

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

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

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

Other hypernyms of sperm count include counting, enumeration, numeration, reckoning, tally.

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

sperm count (noun)	count (noun)
the act of estimating the number of spermatozoa in an ejaculate	the act of counting; reciting numbers in ascending order
the number of sperm in an ejaculate	a nobleman (in various countries) having rank equal to a British earl
	the total number counted

sperm count (verb)	count (verb)
	include as if by counting
	have faith or confidence in
	take account of
	determine the number or amount of
	name or recite the numbers in ascending order
	show consideration for; take into account
	have weight; have import, carry weight
	put into a group
	have a certain value or carry a certain weight