List All Subsets of the Given Set $$\{ z , n , l , r \}$$

Multiple Choice

List all subsets of the given set. Identify any of the subsets that are improper. $$\{ z , n , l , r \}$$

A) $\begin{array} { l } \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\\{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}\end{array}$ Improper subsets: $\begin{array} { l } \varnothing , \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\\{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}\end{array}$
B) $\begin{array} { l } \varnothing , \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\\{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}\end{array}$ Improper subsets: $\{ z , n , l , r \}$
C) $\begin{array} { l } \varnothing , \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} \\\{ n , l \} , \{ n , r \} , \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} \\\{ z , l , r \} , \{ n , l , r \} , \{ z , n , l , r \}\end{array}$ Improper subsets: $\varnothing , \{ z , n , l , r \}$
D) $\begin{array} { l } \varnothing , \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} \\\{ n , l \} , \{ n , r \} , \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} \\\{ z , l , r \} , \{ n , l , r \} , \{ z , n , l , r \}\end{array}$ Improper subsets: $\{ z , n , l , r \}$
E) $\begin{array} { l } \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\\{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}\end{array}$ Improper subsets: $\begin{array} { l } \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\\{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}\end{array}$