1. If 72 is odd, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. 2. If 72 is even, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Let S = {1, 2, 3, ..., n). Consider the following two statements:
1. If 12 is odd, then S has the same number of subsets with an odd number of
elements as subsets with an even number of elements.
2. If 72 is even, then S has the same number of subsets with an odd number of
elements as subsets with an even number of elements.
Which of the following is correct?
Statement 1 is true and Statement 2 is false.
Statement 1 is true and Statement 2 is true.
Statement 1 is false and Statement 2 is false.
Statement 1 is false and Statement 2 is true.
Transcribed Image Text:Let S = {1, 2, 3, ..., n). Consider the following two statements: 1. If 12 is odd, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. 2. If 72 is even, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. Which of the following is correct? Statement 1 is true and Statement 2 is false. Statement 1 is true and Statement 2 is true. Statement 1 is false and Statement 2 is false. Statement 1 is false and Statement 2 is true.
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