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Triple Cubes

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Three Sets of Cubes, Two Surfaces

Age 7 to 11 Challenge Level:

 
This can be used as a follow-on from Two on Five.
 
You have interlocking cubes of three different colours - $2$ of one colour, $3$ of another colour and $4$ of the third colour.
It could look like this;
2,3,4

 This is slightly different from Two on Five but is seen as an extension for the highest attaining. You might like to go there first!
 
The nine cubes are to be connected in the usual way with the following rules being applied.
 
THE TWO YELLOW CUBES ARE NOT ALLOWED TO TOUCH WALL OR FLOOR SURFACES.
 
THE THREE BLUE CUBES MUST TOUCH ONE SURFACE ONLY THE WALL OR THE FLOOR
 
EACH OF THE FOUR RED CUBES MUST TOUCH BOTH WALL AND FLOOR
 
Here are two examples that obey the rules;
 

 new 2on3on4
 
See what others you can find.
How many will there be?
At some point ask yourself "I wonder what would happen if I ...?"