admission vs fee

admission and fee both are nouns.

Word	Noun	Adjective	Verb	Adverb
admission	Yes	No	No	No
fee	Yes	No	Yes	No

As nouns, fee is a hypernym of admission; that is, fee is a word with a broader meaning than admission:

admission (noun)	fee (noun)
the act of admitting someone to enter	a fixed charge for a privilege or for professional services
the right to enter	an interest in land capable of being inherited
an acknowledgment of the truth of something
the fee charged for admission

admission (verb)	fee (verb)
	give a tip or gratuity to in return for a service, beyond the compensation agreed on