count vs sum

count and sum both are nouns.

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

As verbs, sum is a hyponym of count; that is, sum is a word with a more specific, narrower meaning than count:

Other hyponyms of count include recount, miscount, census, add, add together, add up, sum up, summate, tally, tot, tot up, total, tote up.

count (noun)	sum (noun)
the act of counting; reciting numbers in ascending order	the whole amount
a nobleman (in various countries) having rank equal to a British earl	the choicest or most essential or most vital part of some idea or experience
the total number counted	a quantity obtained by the addition of a group of numbers
	the final aggregate
	a set containing all and only the members of two or more given sets
	a quantity of money

count (verb)	sum (verb)
include as if by counting	determine the sum of
have faith or confidence in	be a summary of
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