Difference between revisions of "2016 USAMO Problems"
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Revision as of 11:20, 26 April 2016
Contents
Day 1
Problem 1
Let be a sequence of mutually distinct nonempty subsets of a set . Any two sets and are disjoint and their union is not the whole set , that is, and , for all . Find the smallest possible number of elements in .
Problem 2
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Problem 3
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Day 2
Problem 4
Find all functions such that for all real numbers and ,
Problem 5
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Problem 6
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The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.
2016 USAMO (Problems • Resources) | ||
Preceded by 2015 USAMO |
Followed by 2017 USAMO | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |