incompetent vs incompetence

incompetent and incompetence both are nouns.

Word	Noun	Adjective	Verb	Adverb
incompetent	Yes	Yes	No	No
incompetence	Yes	No	No	No

incompetent (noun)	incompetence (noun)
someone who is not competent to take effective action	lack of physical or intellectual ability or qualifications
	inability of a part or organ to function properly

incompetent (adjective)	incompetence (adjective)
not qualified or suited for a purpose
legally not qualified or sufficient
not doing a good job
not meeting requirements
showing lack of skill or aptitude