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no of subsets of {1,2,3,...,2003} with even number of elements

Source: Greece JBMO TST 2003 p3

June 18, 2019
combinatoricsSubsets

Problem Statement

Consider the set M={1,2,3,...,2003}M=\{1,2,3,...,2003\}. How many subsets of MM with even number of elements exist?
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