Elimination (noun)

1. The act or process of removing or getting rid of something.
2. The removal of someone or something from a competition or group.

Origin:

Late 16th century from latin eliminatio(n-), from eliminare 'remove, get rid of'.

Examples:

1. The elimination of toxic chemicals from the water supply was a major accomplishment.
2. The elimination of the small countries from the contest was a disappointment.
3. The elimination of all obstacles was necessary for the success of the project.
4. Her elimination from the competition was a shock to everyone.
5. The elimination of the disease from the country was celebrated by all.