Given interchanges:Signs + and - , numbers 6 and 7.Options6 + 7 - 12 = 13         6 + 7 - 12 = 126 - 7 + 12 = 0 7 - 6 + 12 = 8

To solve the problem, let's evaluate each of the given options by substituting the signs and numbers accordingly.

Evaluation of Options

1. Option 1: $6 + 7 - 12$
   Calculation:
   $6 + 7 - 12 = 13 - 12 = 1$

2. Option 2: $6 + 7 - 12$
   Calculation:
   $6 + 7 - 12 = 6 + 7 - 12 = 1$

3. Option 3: $6 - 7 + 12$
   Calculation:
   $6 - 7 + 12 = -1 + 12 = 11$

4. Option 4: $7 - 6 + 12$
   Calculation:
   $7 - 6 + 12 = 1 + 12 = 13$

Summary of Results

• Option 1: Result is $1$
• Option 2: Result is $1$
• Option 3: Result is $11$
• Option 4: Result is $13$

Final Answer

The only option that sums up correctly to the original indication (though none produce the value directly stated in the prompt) is $7 - 6 + 12 = 13$. Thus, the preferred response to the sign and numeric interchanges is Option 4: $7 - 6 + 12 = 13$.