Difference between revisions of "1988 USAMO Problems/Problem 3"
(Created page with "==Problem== Let <math>X</math> be the set <math>\{ 1, 2, \cdots , 20\}</math> and let <math>P</math> be the set of all 9-element subsets of <math>X</math>. Show that for any map ...") |
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{{USAMO box|year=1988|num-b=2|num-a=4}} | {{USAMO box|year=1988|num-b=2|num-a=4}} | ||
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[[Category:Olympiad Combinatorics Problems]] | [[Category:Olympiad Combinatorics Problems]] |
Latest revision as of 19:44, 3 July 2013
Problem
Let be the set and let be the set of all 9-element subsets of . Show that for any map we can find a 10-element subset of , such that for any in .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
1988 USAMO (Problems • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 | ||
All USAMO Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.