take into account vs count on

take into account and count on both are verbs.

Word	Noun	Adjective	Verb	Adverb
take into account	No	No	Yes	No
count on	No	No	Yes	No

As verbs, count on is a hypernym of take into account; that is, count on is a word with a broader meaning than take into account:

take into account: allow or plan for a certain possibility; concede the truth or validity of something
count on: judge to be probable

Other hypernyms of take into account include calculate, estimate, figure, forecast, reckon.

take into account (verb)	count on (verb)
allow or plan for a certain possibility; concede the truth or validity of something	judge to be probable