All combinations of items in N arrays in C#

Question

I can have N arrays of different length.
Important thing is that I dont know how many arrays I can have.
Let's we have 3 arrays:

arr1: { obj11, obj12, obj13, ...., obj1J }  
arr2: { obj21, obj22, obj23, .........., obj2K }  
arr3: { obj31, obj32, obj33, ................, obj3L }

How can I produce combinations of each item with each other like this:

1.  [obj11, obj21, obj31]  
2.  [obj11, obj21, obj32]  
..  
L.  [obj11, obj21, obj 3L]  
L+1.[obj11, obj22, obj 31]  
.... 

Talking about C# implementation (maybe Linq?)