1-Let B be the set of all infinite sequences over {0, 1}. Is this set countable or not, prove it? 2- consider the set of all finite subsets of N, is this set countable or not, prove it? 3- if a...

$1-Let B be the set of all infinite sequences over {0, 1}. Is this set countable or not, prove it?<br>2- consider the set of all finite subsets of N, is this set countable or not, prove it?<br>3- if a belongs to the set of all even natural numbers, and b belongs to the set of natural numbers divisible<br>by 3. Is the set of fractions a/b countable or uncountable, prove it?<br>$

Extracted text: 1-Let B be the set of all infinite sequences over {0, 1}. Is this set countable or not, prove it? 2- consider the set of all finite subsets of N, is this set countable or not, prove it? 3- if a belongs to the set of all even natural numbers, and b belongs to the set of natural numbers divisible by 3. Is the set of fractions a/b countable or uncountable, prove it?

Jun 05, 2022

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1-Let B be the set of all infinite sequences over {0, 1}. Is this set countable or not, prove it? 2- consider the set of all finite subsets of N, is this set countable or not, prove it? 3- if a...

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