elimination 
英 [ɪˌlɪmɪˈneɪʃən]  美 [iˈlɪməˌneɪtʃən] 
n. 消除，排除；淘汰

例句：
Supporters were shocked by their elimination in the first round. 

他们第一轮就被淘汰了，支持者们感到震惊。

He is trying to come to terms with his club's elimination from the tournament. 

他在努力接受他的俱乐部在锦标赛中遭到淘汰的事实。

We would then know by a process of elimination which ones weren't correct. 

通过使用排除法我们就可以知道哪些不正确。

elimination of sth from sth 

从…中消除…