List all subsets of the following set. $$J = \{ 4,5,6 \}$$
A) $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , \{ 4,5,6 \}$
B) $\{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \}$
C) $\{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , J$
D) $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , \{ J \}$
E) $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , J , \{ J \}$

Question

Quizplus · Accepted Answer

The set of all subsets of $J=\{4,5,6\}$ includes the empty set $\varnothing$ and all possible combinations of the elements in $J$, including subsets with only one element ($\{4\},\{5\},\{6\}$), subsets with two elements ($\{4,5\},\{4,6\},\{5,6\}$), subsets with all three elements ($\{4,5,6\}$), but not any other sets (e.g. $\{4,7\}$ is not a subset of $J$). The only choice that lists all of these possible subsets is A.

List All Subsets of the Following Set J={4,5,6}J = \{ 4,5,6 \}J={4,5,6}

List All Subsets of the Following Set $J = \{ 4,5,6 \}$