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Step-by-Step Solution
Key Concept: The determinant of a matrix where each column is a sum of two terms can be expanded using the linearity property of determinants. For a 3x3 determinant where each of the 3 columns is a sum of 2 terms, the total number of determinants formed is 2^3 = 8.
Each column of the 3x3 determinant is a sum of two terms. By the linearity property of determinants, a determinant where each column is a sum of $n$ terms can be expressed as the sum of $n^3$ determinants. Here, each of the 3 columns has 2 terms, so the number of determinants is $2^3 = 8$.
Correct Answer: 2