[0,1] {0,1,2,...,9}^N N is the set of natural number
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Originally Posted by szpengchao [0,1] Not this is $\displaystyle 2^{\aleph_0}$. {0,1,2,...,9}^N $\displaystyle 10 = {0,1,...,9}$ and $\displaystyle 2\leq 10$ thus $\displaystyle |2^{\mathbb{N}} | \leq |10^{\mathbb{N}}|$. Thus, it cannot be countable.
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