Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
For each ne N, determine (with proof!) the number of subsets of the set [n] the sum of whose elements is odd. For example, for n = 2, there are 2 such subsets of [2], namely {1} (the sum of the elements is 1) and {1,2} (the sum of the elements is 3).
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Transcribed Image Text:For each ne N, determine (with proof!) the number of subsets of the set [n] the sum of whose elements is odd. For example, for n = 2, there are 2 such subsets of [2], namely {1} (the sum of the elements is 1) and {1,2} (the sum of the elements is 3).
For ne N, the notation [n] means the set {1, 2, 3,...,n}. (By convention, [0] =Ø.)
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Transcribed Image Text:For ne N, the notation [n] means the set {1, 2, 3,...,n}. (By convention, [0] =Ø.)
Expert Solution
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Step 1: Basic counting principle

We use the principle of multiplication in counting to solve the problem. 

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