Let S = {₁, C2, C3, C4, C5, 6, 7} be the set of 7 distinct integers. Use the Pigeonhole Principle to show that there exists a permutation e₁e₂ezeдeseçer of S such that is odd. €₁€₂ (€₂ + 1) (€₁+1) -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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1. Let S = {₁, 2, 3, 4, 5, 6, 7} be the set of 7 distinct integers. Use the Pigeonhole
Principle to show that there exists a permutation ejezezegeseer of S such that
is odd.
€₁€₂
-
(еz + 1) (€₁+1)
Transcribed Image Text:1. Let S = {₁, 2, 3, 4, 5, 6, 7} be the set of 7 distinct integers. Use the Pigeonhole Principle to show that there exists a permutation ejezezegeseer of S such that is odd. €₁€₂ - (еz + 1) (€₁+1)
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