generate all possible combinations of several lists

[anao_]

Hi,

I am trying to make all the combinations of the list below, given a certain criteria

List (Input)

Failure of 1 production line Failure of 2 production line Failure of 3 production line Factory 1 A1 B1 Factory 2 A2 B2 Factory 3 A3 B3 C3 <tbody> </tbody>
The ouputs should be all the potential combinations from 1 production to all the 9 failing. The trick here is that I can't have combinations of any of the items in the B column (and following), if the item in the same row from the previous column is not envolved. For example, I want to exclude combinations that include B1 and do not include A1 (A2+B1 for example). The output should look like this:

<tbody>
</tbody>

Output

Combinations of 1	Combinations of 2	Combinations of 3	Combinations of ...
A1	A1+B1	A1+B1+A2
A2	A1+A2	A1+A2+A3
A3	A1+A3	A1+A2+B2
	A2+B2	...
	A3+B3

<tbody>
</tbody>

And give the condition above, these would not be valid outputs:

Combinations of 1	Combinations of 2	Combinations of 3
B1	A1+B2	B1+B2+B3
B2	A1+C3	A1+B2+A3
B3	...	...
C3

<tbody>
</tbody>

Many thanks in advance! Please let me know if this is not clear!

Best,
anao_