discretion vs liberty

discretion and liberty both are nouns.

Word	Noun	Adjective	Verb	Adverb
discretion	Yes	No	No	No
liberty	Yes	No	No	No

As nouns, liberty is a hypernym of discretion; that is, liberty is a word with a broader meaning than discretion:

discretion (noun)	liberty (noun)
the trait of judging wisely and objectively	an act of undue intimacy
the power of making free choices unconstrained by external agencies	immunity from arbitrary exercise of authority: political independence
knowing how to avoid embarrassment or distress	freedom of choice
refined taste; tact	personal freedom from servitude or confinement or oppression
freedom to act or judge on one's own	leave granted to a sailor or naval officer