Let U {1,2,..., 100}, and let A consist of 15 unknown numbers taken ran- %3D domly from U. Let B consist of 15 unknown numbers taken randomly from the set U\A. Apply the Pigeonhole Principle to explain why there must be two pairs (a1, b1), (a2, b2) E Ax B such that a + b1 = a2 + b2. %3D

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