List all subsets of the given set. Identify any of the subsets that are improper. $$\{ Z , m \}$$
A) $\varnothing, \{ z \} , \{ m \} , \{ z , m \}$ Improper subset: $\varnothing$
B) $\varnothing , \{ z \} , \{ m \}$ Improper subsets: $\varnothing , \{ z \} , \{ m \}$
C) $\varnothing , \{ z \} , \{ m \} , \{ z , m \}$ Improper subset: $\{ Z , m \}$
D) $\varnothing , \{ z \} , \{ m \}$ Improper subsets: $\{ z \} , \{ m \}$
E) $\varnothing , \{ z \} , \{ m \} , \{ z , m \}$ Improper subsets: $\varnothing , \{ z \} , \{ m \} , \{ z , m \}$

Question

Quizplus · Accepted Answer

The set has two elements, so the total number of subsets is $2^2 = 4$. In choices A, B, and E, all subsets are listed correctly. In choice D, the subset $\{ Z,m \}$ is missing. Therefore, the correct answer is $\boxed{	extbf{(C)}}.$

List All Subsets of the Given Set {Z,m}\{ Z , m \}{Z,m}

List All Subsets of the Given Set $\{ Z , m \}$