Let A = {3, 4, 5, 6, 9}, Write down each of the following sets. (a) An B. (b) {b-2: be B and b+ 2 & A}. B = {2, 3, 7, 8, 9, 10}. Now write down each of the following numbers. (c) The number of 3-element subsets of B. (d) The number of non-empty subsets of B. Describe all of the following sets by listing their elements. (e) The set of composite numbers less than 17. (f) (a ≤N Icm(a, 6) = 42}. (g) The set of complex numbers z such that z4 = 1. [No justification is required for any parts of this question.]

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Let
A =
: {3, 4, 5, 6, 9},
Write down each of the following sets.
(a) An B.
(b) {b-2: be B and b+ 2 & A}.
B =
= {2, 3, 7, 8, 9, 10}.
Now write down each of the following numbers.
(c) The number of 3-element subsets of B.
(d) The number of non-empty subsets of B.
Describe all of the following sets by listing their elements.
(e) The set of composite numbers less than 17.
(f) (a ≤N Icm(a, 6) = 42}.
(g) The set of complex numbers z such that z4 = 1.
[No justification is required for any parts of this question.]
Transcribed Image Text:Let A = : {3, 4, 5, 6, 9}, Write down each of the following sets. (a) An B. (b) {b-2: be B and b+ 2 & A}. B = = {2, 3, 7, 8, 9, 10}. Now write down each of the following numbers. (c) The number of 3-element subsets of B. (d) The number of non-empty subsets of B. Describe all of the following sets by listing their elements. (e) The set of composite numbers less than 17. (f) (a ≤N Icm(a, 6) = 42}. (g) The set of complex numbers z such that z4 = 1. [No justification is required for any parts of this question.]
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