(c) Let S be the set of functions from {5,6} to N. That is, S = {f|f: {5,6} \to N}. Is the set S countable? Justify your answer.
(d) Let A = \{x \in \mathbb{R}|0 < x < 1\}. For the following sets, decide whether or not it has the same cardinality as A. Justify with proof.
\begin{itemize}
\item \{x \in \mathbb{R}| -5 < x < 5\}
\item \{n \in \mathbb{N}|0 < n < 10\}
\item \mathbb{R}^+
\end{itemize}