(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let N^{N}be the set of all functions from N to N. Prove that |N^{N}|=c

2. Relevant equations

3. The attempt at a solution

I can prove that the set of all functions from N to {0,1} has cardinality of the continuum, but i can't generalise it. Any help would be appreciated.

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# Homework Help: Cardinality of the set of all functions from N to N

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