Difference between revisions of "2001 AIME II Problems/Problem 5"
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== Problem == | == Problem == | ||
| + | A set of positive numbers has the <math>triangle~property</math> if it has three distinct elements that are the lengths of the sides of a triangle whose area is positive. Consider sets <math>\{4, 5, 6, \ldots, n\}</math> of consecutive positive integers, all of whose ten-element subsets have the triangle property. What is the largest possible value of <math>n</math>? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=2001|n=II|num-b=4|num-a=6}} | |
Revision as of 23:41, 19 November 2007
Problem
A set of positive numbers has the 
if it has three distinct elements that are the lengths of the sides of a triangle whose area is positive. Consider sets 
of consecutive positive integers, all of whose ten-element subsets have the triangle property. What is the largest possible value of 
?
Solution
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See also
| 2001 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
