Suppose that
A
\displaystyle {A}
A
and
B
\displaystyle {B}
B
are sets such that
A
∩
B
=
{
3
,
6
}
\displaystyle {A}\cap{B}={\left\lbrace{3},{6}\right\rbrace}
A
∩
B
=
{
3
,
6
}
and
A
∪
B
=
{
1
,
2
,
3
,
6
,
8
}
\displaystyle {A}\cup{B}={\left\lbrace{1},{2},{3},{6},{8}\right\rbrace}
A
∪
B
=
{
1
,
2
,
3
,
6
,
8
}
. How many different sets are possible for
A
\displaystyle {A}
A
?
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