elimination

(noun) the act of removing or getting rid of something. Synonyms: riddance.

(noun) the bodily process of discharging waste matter. Synonyms: evacuation, excretion, excreting, voiding.

(noun) analysis of a problem into alternative possibilities followed by the systematic rejection of unacceptable alternatives. Synonyms: reasoning by elimination.

(noun) the act of removing an unknown mathematical quantity by combining equations.

(noun) the murder of a competitor. Synonyms: liquidation.