1. Correct Answer: Option A: 6
 2. Explanation:
     Let's break down the problem step by step:
     Step 1: Understanding the Problem
         ○ We have two 2-digit numbers, AB and CD.
         ○ Their product is a 3-digit number, DEF.
         ○ Adding DEF to another 3-digit number, GHI, results in 975.
         ○ All digits A, B, C, D, E, F, G, H, I are distinct.
         ○ We know E = 0 and F = 8.
     Step 2: Setting Up Equations
         ○ Since DEF is a 3-digit number and E = 0, F = 8, DEF can be represented as D08.
         ○ Therefore, DEF = 100D + 08 = 100D + 8.
     Step 3: Solving for GHI
         ○ We know DEF + GHI = 975.
         ○ Substitute DEF = 100D + 8 into the equation:
       \[
       100D + 8 + GHI = 975
       \]
         ○ Simplifying gives:
       \[
       GHI = 975 - 100D - 8 = 967 - 100D
       \]
     Step 4: Finding Possible Values for D
         ○ Since DEF is a 3-digit number, D must be a digit from 1 to 9.
         ○ GHI must also be a 3-digit number, so 967 - 100D must be between 100 and 999.
         ○ Solving for D:
       \[
       100 \leq 967 - 100D \leq 999
       \]
         ○ Simplifying the lower bound:
       \[
       100 \leq 967 - 100D \implies 100D \leq 867 \implies D \leq 8.67
       \]
         ○ Simplifying the upper bound:
       \[
       967 - 100D \leq 999 \implies 100D \geq -32 \implies D \geq -0.32
       \]
         ○ Since D is a digit, possible values for D are 1, 2, 3, 4, 5, 6, 7, 8.
     Step 5: Finding AB and CD
         ○ We need to find AB and CD such that AB * CD = 100D + 8.
         ○ Since E = 0 and F = 8, DEF = D08, and we need to find a combination where all digits are distinct.
     Step 6: Checking for Distinct Digits
         ○ We need to ensure all digits A, B, C, D, E, F, G, H, I are distinct.
         ○ Since E = 0 and F = 8, we need to find values for A, B, C, D, G, H, I that satisfy the distinct condition.
     Step 7: Solving for A + B + C
         ○ After testing possible values for D and ensuring distinct digits, we find that:
           ○ A = 1, B = 2, C = 3 (one possible solution that satisfies all conditions).
         ○ Therefore, A + B + C = 1 + 2 + 3 = 6.
     Conclusion
         ○ The sum of A, B, and C is 6.
         ○ Hence, the correct answer is Option A: 6.