True or False:

Suppose

A

$=$

$\{$

a

$,$

e

$,$

$0$

$\}$

and

B

$=$

$\{$

$0$

$,$

$1$

$\}$

are two sets. Then

A

$\backslash$times

$($

B

$\backslash$times

B

$)$

$=$

$\{$

$($

a

$,$

$0$

$,$

$0$

$)$

$,$

$($

a

$,$

$0$

$,$

$1$

$)$

$,$

$($

a

$,$

$1$

$,$

$0$

$)$

$,$

$($

a

$,$

$1$

$,$

$1$

$)$

$,$

$($

e

$,$

$0$

$,$

$0$

$)$

$,$

$($

e

$,$

$0$

$,$

$1$

$)$

$,$

$($

e

$,$

$1$

$,$

$0$

$)$

$,$

$($

e

$,$

$1$

$,$

$1$

$)$

$,$

$($

$0$

$,$

$0$

$,$

$0$

$)$

$,$

$($

$0$

$,$

$0$

$,$

$1$

$)$

$,$

$($

$0$

$,$

$1$

$,$

$0$

$)$

$,$

$($

$0$

$,$

$1$

$,$

$1$

$)$

$\}$

False