suppose $$A = \{ a , b , c \} \text { and } B = \{ b , \{ c \} \} \text {. Mark the statement TRUE or FALSE. }$$
-$$| \mathcal { P } ( A \times B ) | = 64$$

Question

Quizplus · Accepted Answer

The Cartesian product of A and B is:$$A 	imes B = \{ (a, b), (a, \{c\}), (b, b), (b, \{c\}), (c, b), (c, \{c\}) \}$$The power set of $A 	imes B$ is:$$\mathcal { P } ( A 	imes B ) = \{ \emptyset, \{(a, b)\}, \{(a, \{c\})\}, \{(b, b)\}, \{(b, \{c\})\}, \{(c, b)\}, \{(c, \{c\})\}, \{(a, b), (a, \{c\})\}, \{(a, b), (b, b)\}, \{(a, b), (b, \{c\})\}, \{(a, b), (c, b)\}, \{(a, b), (c, \{c\})\}, \{(a, \{c\}), (b, b)\}, \{(a, \{c\}), (b, \{c\})\}, \{(a, \{c\}), (c, b)\}, \{(a, \{c\}), (c, \{c\})\}, \{(b, b), (b, \{c\})\}, \{(b, b), (c, b)\}, \{(b, b), (c, \{c\})\}, \{(b, \{c\}), (c, b)\}, \{(b, \{c\}), (c, \{c\})\}, \{(c, b), (c, \{c\})\}, \{(a, b), (a, \{c\}), (b, b)\}, \{(a, b), (a, \{c\}), (b, \{c\})\}, \{(a, b), (a, \{c\}), (c, b)\}, \{(a, b), (a, \{c\}), (c, \{c\})\}, \{(a, b), (b, b), (b, \{c\})\}, \{(a, b), (b, b), (c, b)\}, \{(a, b), (b, b), (c, \{c\})\}, \{(a, b), (b, \{c\}), (c, b)\}, \{(a, b), (b, \{c\}), (c, \{c\})\}, \{(a, b), (c, b), (c, \{c\})\}, \{(a, \{c\}), (b, b), (b, \{c\})\}, \{(a, \{c\}), (b, b), (c, b)\}, \{(a, \{c\}), (b, b), (c, \{c\})\}, \{(a, \{c\}), (b, \{c\}), (c, b)\}, \{(a, \{c\}), (b, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (c, b), (c, \{c\})\}, \{(b, b), (b, \{c\}), (c, b)\}, \{(b, b), (b, \{c\}), (c, \{c\})\}, \{(b, b), (c, b), (c, \{c\})\}, \{(b, \{c\}), (c, b), (c, \{c\})\}, \{(a, b), (a, \{c\}), (b, b), (b, \{c\})\}, \{(a, b), (a, \{c\}), (b, b), (c, b)\}, \{(a, b), (a, \{c\}), (b, b), (c, \{c\})\}, \{(a, b), (a, \{c\}), (b, \{c\}), (c, b)\}, \{(a, b), (a, \{c\}), (b, \{c\}), (c, \{c\})\}, \{(a, b), (a, \{c\}), (c, b), (c, \{c\})\}, \{(a, b), (b, b), (b, \{c\}), (c, b)\}, \{(a, b), (b, b), (b, \{c\}), (c, \{c\})\}, \{(a, b), (b, b), (c, b), (c, \{c\})\}, \{(a, b), (b, \{c\}), (c, b), (c, \{c\})\}, \{(a, b), (b, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(a, b), (c, b), (c, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (b, b), (b, \{c\}), (c, b)\}, \{(a, \{c\}), (b, b), (b, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (b, b), (c, b), (c, \{c\})\}, \{(a, \{c\}), (b, \{c\}), (c, b), (c, \{c\})\}, \{(a, \{c\}), (b, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (c, b), (c, \{c\}), (c, \{c\})\}, \{(b, b), (b, \{c\}), (c, b), (c, \{c\})\}, \{(b, b), (b, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(b, b), (c, b), (c, \{c\}), (c, \{c\})\}, \{(b, \{c\}), (c, b), (c, \{c\}), (c, \{c\})\}, \{(a, b), (a, \{c\}), (b, b), (b, \{c\}), (c, b)\}, \{(a, b), (a, \{c\}), (b, b), (b, \{c\}), (c, \{c\})\}, \{(a, b), (a, \{c\}), (b, b), (c, b), (c, \{c\})\}, \{(a, b), (a, \{c\}), (b, b), (c, \{c\}), (c, \{c\})\}, \{(a, b), (a, \{c\}), (b, \{c\}), (c, b), (c, \{c\})\}, \{(a, b), (a, \{c\}), (b, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(a, b), (a, \{c\}), (c, b), (c, \{c\}), (c, \{c\})\}, \{(a, b), (b, b), (b, \{c\}), (c, b), (c, \{c\})\}, \{(a, b), (b, b), (b, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(a, b), (b, b), (c, b), (c, \{c\}), (c, \{c\})\}, \{(a, b), (b, \{c\}), (c, b), (c, \{c\}), (c, \{c\})\}, \{(a, b), (b, \{c\}), (c, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(a, b), (c, b), (c, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (b, b), (b, \{c\}), (c, b), (c, \{c\})\}, \{(a, \{c\}), (b, b), (b, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (b, b), (c, b), (c, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (b, \{c\}), (c, b), (c, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (b, \{c\}), (c, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(a, \{c\}), (c, b), (c, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(b, b), (b, \{c\}), (c, b), (c, \{c\}), (c, \{c\})\}, \{(b, b), (b, \{c\}), (c, \{c\}), (c, \{c\}), (c, \{c\})\}, \{(b, b), (c, b), (c, \{c\}),

Suppose A={a,b,c} and B={b,{c}}. Mark the statement TRUE or FALSE. A = \{ a , b , c \} \text { and } B = \{ b , \{ c \} \} \text {. Mark the statement TRUE or FALSE. }A={a,b,c} and B={b,{c}}. Mark the statement TRUE or FALSE.

Suppose $A = \{ a , b , c \} \text { and } B = \{ b , \{ c \} \} \text {. Mark the statement TRUE or FALSE. }$