# Operation of Sets

Algebra Level pending

For sets $$A$$ and $$B$$, let $A\oplus B=\{x|x=a+b, a\in A, b\in B\}.$ For $$A=\{0, 1\}$$ and $$B=\{1, 2\},$$ what is the sum of all elements of the set $$B\oplus (A\oplus B)?$$

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