Let S be a subset of {1,2,...99} with exactly 10 elements. Show that S has two disjoint subsets with the same sum. {5, 12, 13, 50, 51, 67, 83, 91, 95, 99}, then the sets {5, 13, 95} and {12, 50, 51} For example if S both sum to 113.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let S be a subset of {1,2, ...99} with exactly 10 elements. Show that
S has two disjoint subsets with the same sum.
{5, 12, 13, 50, 51, 67, 83, 91, 95, 99}, then the sets {5, 13, 95} and {12, 50, 51}
For example if S
both sum to 113.
Transcribed Image Text:2. Let S be a subset of {1,2, ...99} with exactly 10 elements. Show that S has two disjoint subsets with the same sum. {5, 12, 13, 50, 51, 67, 83, 91, 95, 99}, then the sets {5, 13, 95} and {12, 50, 51} For example if S both sum to 113.
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