(b) How many minimal elements are there in the ordered set (X,|), for X = {4k + 2: k > 2}? Let us remark that the analogous question for the set {4k+1: k > 2} ordered by divisibility is considerably more difficult.

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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(b) How many minimal elements are there in the ordered set (X, |),
for X = {4k + 2: k > 2}? Let us remark that the analogous question
for the set {4k+1: k > 2} ordered by divisibility is considerably more
difficult.
Transcribed Image Text:(b) How many minimal elements are there in the ordered set (X, |), for X = {4k + 2: k > 2}? Let us remark that the analogous question for the set {4k+1: k > 2} ordered by divisibility is considerably more difficult.
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