Question

If $A=\{1,2\}$, from the set $A\times A\times A$.

Answer 1

$A\times A\times A=\left\{1,2\right\}\times \left\{1,2\right\}\times \left\{1,2\right\}$

$=\left(1,1,1\right),\left(1,1,2\right)$

$=\left(1,2,1\right),\left(1,2,2\right)$

$=\left(2,1,1\right),\left(2,1,2\right)$

$=\left(2,2,1\right),\left(2,2,2\right)$

hence,we get $8$ set.