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 = %3D both sum to 113.

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 = %3D both sum to 113.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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}
both sum to 113.
For example if S =

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