mod01lec04 - Uncountable sets-1

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Uncountable sets
  1. NPTEL-NOC IITM
  2. Uncountable sets
  3. Probability Foundations for Electrical Engineers
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About power set of N - I naturally thought there exists a bijection as each N maps to one unique 2^N. That way it would be countable set.
What am I missing?

jonsnow