There are 11 cows in a field. Each cow has alnon-negative integer number of spots on it. Is it possible to always find a subset of the 11 cows such that the sum of the spots on the cows in that subset is a multiple of 11

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 3E
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There are 11 cows in a field. Each cow has a non-negative integer number of
spots on it. Is it possible to always find a subset of the 11 cows such that the
sum of the spots on the cows in that subset is a multiple of 11
Transcribed Image Text:There are 11 cows in a field. Each cow has a non-negative integer number of spots on it. Is it possible to always find a subset of the 11 cows such that the sum of the spots on the cows in that subset is a multiple of 11
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