elimination vs riddance

elimination and riddance both are nouns.

Word	Noun	Adjective	Verb	Adverb
elimination	Yes	No	No	No
riddance	Yes	No	No	No

As nouns, elimination and riddance are synonyms defined as:

elimination and riddance: the act of removing or getting rid of something

elimination (noun)	riddance (noun)
the murder of a competitor	the act of forcing out someone or something
the act of removing or getting rid of something	the act of removing or getting rid of something
the act of removing an unknown mathematical quantity by combining equations
analysis of a problem into alternative possibilities followed by the systematic rejection of unacceptable alternatives
the bodily process of discharging waste matter