Exercise 1.6.5

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%1.6.5
  \begin{enumerate}[label=(\alph*)] 
  \item Let $A=\{a, b, c\}$. List the eight elements of $P(A)$. (Do not forget that $\emptyset$ is considered to be a subset of every set.)
  \item If $A$ is finite with $n$ elements, show that $P(A)$ has $2^{n}$ elements.
   \end{enumerate}

Ulisse Mini · Accepted Answer

\begin{enumerate}[label=(\alph*)] 
  \item $A = \left\{\emptyset, \{a\}, \{b\}, \{c\}, \{a, b\}, \{a, c\}, \{b, c\}, \{a,b,c\}\right\}$.
  \item There are $n$ elements, we can include or exclude each element so there are $2^n$ subsets.
   \end{enumerate}

Exercise 1.6.5

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Exercise 1.6.5

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