Starting sets:

A$=\{0,1,2,5,6,6\}$

B$=\{\text{'}$a$\text{'},\text{'}$e$\text{'},\text{'}$i$\text{'},\text{'}$o$\text{'},\text{'}$u$\text{'},0,1,2,3,4,5\}$

Using SageMath Worksheet to code and calculate:

$1.)$ A $\backslash$cap B

$2.)$ A $\backslash$cup B

$3.)|$A$|$

$4.)$ A $\backslash$times B

$5.)|$A $\backslash$times A$|$

$6.)$ P$($A$)$

$7.)$ P$($B$)$

$8.)|$P$($A$)|$

$9.)|$P$($B$)|$