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Re:U.S. Wins First Place at International Mathematics Compet... by HardyLeung on Friday July 15, 2016 @02:30PM (#12102900)
The USAMO winner list is here:

http://www.maa.org/sites/default/files/USAMO_Winners_2016_1....

Apparently the final team was not chosen strictly from the top 12 (Michael Kural and Ashwin Sah were Honorable Mentions).

Re:U.S. Wins First Place at International Mathematics Compet... by nhaliday on Friday July 15, 2016 @06:43PM (#12104289)
There are two more tests used for team selection after the USAMO (during the training camp).
Re:U.S. Wins First Place at International Mathematics Compet... by Bahamut on Friday July 15, 2016 @03:35PM (#12103291)
Could be that they couldn't attend or some other reason.