A= { x, y, z } FS = {finite sequences using letters x, y, z } , such as xxyxyzz %3D IS = {infinite sequences using letters x, y, z } , such as xxyxyzzxzy ... Which of the statements below are true? A is finite, FS is uncountable, IS is countable IS is finite A empty, FS is countable, IS is countable FS finite, A is fınite only finite sequences are in IS elements of FS are finite, hence FS is finite FS and IS have the same cardinality FS is empty neither of these answers is true A is infinite, FS is countable, IS is uncountable A is finite, FS is countable, IS is uncountable O FS and IS are identical sets

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A= { x, y, z }
FS = {finite sequences using letters x, y, z } , such as xxyxyzz
%3D
IS = {infinite sequences using letters x, y, z } , such as xxyxyzzxzy ...
Which of the statements below are true?
A is finite, FS is uncountable, IS is countable
IS is finite
A empty, FS is countable, IS is countable
FS finite, A is fınite
only finite sequences are in IS
elements of FS are finite, hence FS is finite
FS and IS have the same cardinality
FS is empty
neither of these answers is true
A is infinite, FS is countable, IS is uncountable
A is finite, FS is countable, IS is uncountable
O FS and IS are identical sets
Transcribed Image Text:A= { x, y, z } FS = {finite sequences using letters x, y, z } , such as xxyxyzz %3D IS = {infinite sequences using letters x, y, z } , such as xxyxyzzxzy ... Which of the statements below are true? A is finite, FS is uncountable, IS is countable IS is finite A empty, FS is countable, IS is countable FS finite, A is fınite only finite sequences are in IS elements of FS are finite, hence FS is finite FS and IS have the same cardinality FS is empty neither of these answers is true A is infinite, FS is countable, IS is uncountable A is finite, FS is countable, IS is uncountable O FS and IS are identical sets
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