Power Set

Fun Class Activities:

1. For each of the following sets, indicate (1) the cardinality of the given set, (2) the cardinality of the powerset for that set, and (3) the powerset items themselves in a listed form.
   1. $L = \{X, Y\}$
   2. $S = \{😊, 😃, 😂\}$
   3. $E = \{\}$ (Remember that this is just another way to write $\emptyset$: the empty set.)
2. What is the cardinality of the powerset of each of the following sets?
   1. $N = \{0, 1, 2, \dots, 100\}$
   2. $T = \{n\ |\ n \in \mathbb{N}, \,$$0 \le n \le 30, \text{$n$ is odd}\}$
   3. $\mathbb{Z} = \{\dots, -3, -2, \,$$-1, 0, 1, 2, 3, \dots\}$