admission price vs price of admission

admission price and price of admission both are nouns.

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

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

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

admission price (noun)	price of admission (noun)
the fee charged for admission	the fee charged for admission