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 20:44, 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. 
