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Math Help - are these sets countable

  1. #1
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    are these sets countable

    [0,1]

    {0,1,2,...,9}^N

    N is the set of natural number
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  2. #2
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    Quote Originally Posted by szpengchao View Post
    [0,1]
    Not this is 2^{\aleph_0}.

    {0,1,2,...,9}^N
    10 = {0,1,...,9} and 2\leq 10 thus |2^{\mathbb{N}} | \leq |10^{\mathbb{N}}|.
    Thus, it cannot be countable.
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