1988 USAMO Problems/Problem 3: Difference between revisions
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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==See Also== | ==See Also== | ||
{{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
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See Also
| 1988 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
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