count on vs estimate

count on is not a noun while estimate is a noun.

Word	Noun	Adjective	Verb	Adverb
count on	No	No	Yes	No
estimate	Yes	No	Yes	No

As verbs, count on and estimate are synonyms defined as:

Other synonyms of count on include calculate, figure, forecast, reckon.

count on (noun)	estimate (noun)
	a judgment of the qualities of something or somebody
	an approximate calculation of quantity or degree or worth
	the respect with which a person is held
	a document appraising the value of something (as for insurance or taxation)
	a statement indicating the likely cost of some job

count on (verb)	estimate (verb)
judge to be probable	judge tentatively or form an estimate of (quantities or time)
	judge to be probable