account vs bill

account and bill both are nouns.

Word	Noun	Adjective	Verb	Adverb
account	Yes	No	Yes	No
bill	Yes	No	Yes	No

As nouns, account and bill are synonyms defined as:

account and bill: an itemized statement of money owed for goods shipped or services rendered

Other synonyms of account include invoice.

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

Other hyponyms of account include credit, balance, overbalance, debit, compound, charge.

account (noun)	bill (noun)
the quality of taking advantage	the entertainment offered at a public presentation
importance or value	horny projecting mouth of a bird
a record or narrative description of past events	a brim that projects to the front to shade the eyes
an itemized statement of money owed for goods shipped or services rendered	a cutting tool with a sharp edge
a short account of the news	a sign posted in a public place as an advertisement
a statement that makes something comprehensible by describing the relevant structure or operation or circumstances etc.	an itemized statement of money owed for goods shipped or services rendered
the act of informing by verbal report	an advertisement (usually printed on a page or in a leaflet) intended for wide distribution
grounds	a statute in draft before it becomes law
a statement of recent transactions and the resulting balance	a list of particulars (as a playbill or bill of fare)
a formal contractual relationship established to provide for regular banking or brokerage or business services	a piece of paper money (especially one issued by a central bank)

account (verb)	bill (verb)
furnish a justifying analysis or explanation	advertise especially by posters or placards
to give an account or representation of in words	publicize or announce by placards
keep an account of	demand payment
be the sole or primary factor in the existence, acquisition, supply, or disposal of something