Jirka_RA: Solution: Exercise 0.3.9

ceciliachan1979 · Feb 27, 2024 · 20bb3cf · 20bb3cf
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+\subsubsection*{Exercise 0.3.9. (Gapry)}
+
+\begin{description}
+\item[] a) $\mathcal{P}(S) = \{ \emptyset \}$
+\item[] b) $\mathcal{P}(S) = \{ \emptyset, \{1\} \}$
+\item[] c) $\mathcal{P}(S) = \{ \emptyset, \{1\}, \{2\}, \{1, 2\} \}$
+\item[] d) $\mathcal{P}(S) = \{          
+  \emptyset,                             \\
+  \{1\}, \{2\}, \{3\}, \{4\},            \\
+  \{1, 2\}, \{1, 3\}, \{1, 4\},          \\
+  \{2, 3\}, \{2, 4\},                    \\
+  \{3, 4\},                              \\
+  \{1, 2, 3\}, \{1, 2, 4\}, \{1, 3, 4\}, \\ 
+  \{2, 3, 4\},                           \\
+  \{1, 2, 3, 4\}\}$
+\end{description}