Define set operation: a * b = {ZLZ = XY (x + y), X ∈ a, y ∈ B}. Let a = {0,1}, B = {2,3}, then the sum of all elements of a * B is______ .

The elements of a * B are
1*0=0
1*2=2
2*0=0
2*2=4
There are three elements: 0, 2, 4
Then the sum of all elements is 6

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