Difference between revisions of "Talk:1986 AIME Problems/Problem 12"
(Created page with "The solution written here seems to incorrect. It is proven that indeed there must be subsets with the same sum when <math>S</math> has more than 5 elements. However, it is not...") |
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| − | The solution written here seems to incorrect. It is proven that indeed there must be subsets with the same sum when <math>S</math> has more than 5 elements. However, it is not proven that these subsets are disjoint, which is required because the problem condition states that "no two <math>\textbf{disjoint}</math> subsets of <math>S</math> have the same sum," not "no two subsets of <math>S</math> have the same sum." | + | The solution written here in the AOPS Wiki for this problem seems to incorrect. It is proven that indeed there must be subsets with the same sum when <math>S</math> has more than 5 elements. However, it is not proven that these subsets are disjoint, which is required because the problem condition states that "no two <math>\textbf{disjoint}</math> subsets of <math>S</math> have the same sum," not "no two subsets of <math>S</math> have the same sum." |
Latest revision as of 16:02, 23 October 2017
The solution written here in the AOPS Wiki for this problem seems to incorrect. It is proven that indeed there must be subsets with the same sum when 
has more than 5 elements. However, it is not proven that these subsets are disjoint, which is required because the problem condition states that "no two 
subsets of have the same sum," not "no two subsets of have the same sum."
