admission vs price of admission

admission and price of admission both are nouns.

Word	Noun	Adjective	Verb	Adverb
admission	Yes	No	No	No
price of admission	Yes	No	No	No

As nouns, admission and price of admission are synonyms defined as:

Other synonyms of admission include admission charge, admission fee, admission price, entrance fee, entrance money.

admission (noun)	price of admission (noun)
the act of admitting someone to enter	the fee charged for admission
the right to enter
an acknowledgment of the truth of something
the fee charged for admission