Difference between revisions of "2001 AIME II Problems/Problem 5"
m |
|||
Line 1: | Line 1: | ||
== 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 00:41, 20 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
This problem needs a solution. If you have a solution for it, please help us out by adding it.
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 |