Difference between revisions of "2010 UNCO Math Contest II Problems/Problem 10"
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Revision as of 21:18, 19 October 2014
Problem
Let 
where 
. What is the maximum number of elements in a subset 
of 
,
which has at least three elements, such that 
for all 
in ? As an example, the subset
of 
has the property that the sum of any two elements is strictly bigger
than the third element, but the subset 
does not since 
is 
greater than 
.
Since there is no subset of size 
satisfying these conditions, the answer for 
is 
.
