Question 200587
 A={1,2,3} B={2,4,6}
Solve: AxB
<pre><font size = 4 color = "indigo"><b>
A has 3 elements, B has 3 elements, so AxB will have
3x3 or 9 elements.

AxB consists of every possible ordered pair of elements,
such that each pair has an element of A as its first number,
and an element of B as its second number. 

I'll color the elements of A red and the elements of B blue, 
so you can see how to make AxB:

<font color="red">A</font>x<font color="blue">B</font>  =
  
{<font color="red">1</font>,<font color="red">2</font>,<font color="red">3</font>}x{<font color="blue">2</font>,<font color="blue">4</font>,<font color="blue">6</font>}  =

{(<font color="red">1</font>,<font color="blue">2</font>),(<font color="red">1</font>,<font color="blue">4</font>),(<font color="red">1</font>,<font color="blue">6</font>),(<font color="red">2</font>,<font color="blue">2</font>),(<font color="red">2</font>,<font color="blue">4</font>),(<font color="red">2</font>,<font color="blue">6</font>),(<font color="red">3</font>,<font color="blue">2</font>),(<font color="red">3</font>,<font color="blue">4</font>),(<font color="red">3</font>,<font color="blue">6</font>)}

Edwin</pre>