Question 601255
Think of a factor tree. You start at the top and you list all 3 possible choices. From each choice, you list each possible choice left right underneath it. This means that you'll have 3*2 = 6 branches so far.


After listing that second choice, you simply tack on the last choice under each branch



Here is an example (that's not this actual problem, but it uses a tree diagram). This tree lists out all the possible ways to have 3 kids (from a completely separate problem).


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/1tree.png">


Note: keep in mind that the tree above is repeating elements that have already been used, so the structure of your tree will look different (the overall idea is still the same)