Question 1: Consider the sets of sequences X=$\{(x_n):x_n\in \{0,1\}\, n\in \mathbb{N}\}$ and Y=$\{(x_n)\in X:x_n=1 $for at most finitely many n \}$ Then 1. X is countable , Y is finite 2. X is uncountable , is countable 3. X is countable ,Y is countable 4. X is uncountable, Y ifs uncountable
Tuesday, July 4, 2017
CSIR-NET December 2016 Solutions Part B and Part C
Question 1: Consider the sets of sequences X=$\{(x_n):x_n\in \{0,1\}\, n\in \mathbb{N}\}$ and Y=$\{(x_n)\in X:x_n=1 $for at most finitely many n \}$ Then 1. X is countable , Y is finite 2. X is uncountable , is countable 3. X is countable ,Y is countable 4. X is uncountable, Y ifs uncountable
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment