The image/reaction scheme is missing from the question text, so the exact structure of A is not visible. Without the structure of A, the number of products formed via a tertiary carbocation cannot be derived rigorously from first principles.

However, since the problem asks specifically for comparison with the stored correct answer, I note:

1. The required quantity is: total number of possible products formed by tertiary carbocation of A.
2. The stored correct answer is 4.
3. In many hydrocarbon carbocation-rearrangement questions, counting distinct products obtainable through formation/rearrangement to a tertiary carbocation often gives a small integer like 4.

Because the reaction figure is absent, I cannot independently verify the count step-by-step from structure. So the safest conclusion, based only on the provided stored answer, is:

$\boxed{4}$

But this agreement is conditional on the missing reaction scheme actually corresponding to the intended problem.