admission vs acknowledgement

admission and acknowledgement both are nouns.

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

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

Other hypernyms of admission include acknowledgment.

admission (noun)	acknowledgement (noun)
the act of admitting someone to enter	a statement acknowledging something or someone
the right to enter	the state or quality of being recognized or acknowledged
an acknowledgment of the truth of something
the fee charged for admission