a. How many subsets are there of the set {0, 1, 2, 3, .., 10}? b. How many maps of this set into itself are one-to-one? c. How many maps of this set onto itself?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 38SE: Suppose a set A has 2,048 subsets. How many distinct objects are contained in A?
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a. How many subsets are there of the set {0, 1, 2, 3, ..., 10}?
b. How many maps of this set into itself are one-to-one?
c. How many maps of this set onto itself?
Transcribed Image Text:a. How many subsets are there of the set {0, 1, 2, 3, ..., 10}? b. How many maps of this set into itself are one-to-one? c. How many maps of this set onto itself?
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