Algebra Examples

${1, 2, 3}$

The power set of a set $S$ is the set of all subsets of $S$ . The first subset will be set $S$ itself. Next, find all subsets that contain one less element (in this case $2$ elements). Continue with this process until finding all subsets including the empty set.

Power Set = ${{1, 2, 3}, {1, 2}, {1, 3}, {2, 3}, {1}, {2}, {3}, {}}$