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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![6. Applied Discrete Mathematics, Section 6.4, #7a
7. Let U
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.
{1,2,..., 100}, and let A consist of 15 unknown numbers taken ran-
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febe9eacc-a056-497e-88ba-73962c29657e%2F5e8cd511-1d11-4c07-adda-653cacd960f1%2Fdgp4o0h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Applied Discrete Mathematics, Section 6.4, #7a
7. Let U
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.
{1,2,..., 100}, and let A consist of 15 unknown numbers taken ran-
%3D
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