Step-by-step Solution:

Quick Solution

This is a matrix puzzle. The best way to solve it is to create a table for the six teachers and their compulsory/optional subjects, then fill it in using the clues one by one.

1. Step-by-Step Deductions from the Clues

1. Clue: "F's compulsory subject in Mathematics, which is an optional subject of both C and E" This directly gives us: F (Compulsory: Math), C (Optional: Math), E (Optional: Math).
   
2. Clue: "E and F have Physics as one of their subjects" From the previous step, we can complete the subjects for E and F. Since F's compulsory subject is Math, his optional must be Physics. Since E's optional subject is Math, his compulsory must be Physics.
   
   • F's subjects are (Mathematics, Physics).
   • E's subjects are (Physics, Mathematics).
3. Clue: "D's optional is History..." and "History and English are A's subject but...they are reserved [reversed] of D's" This means if D's optional is History, A's compulsory must be History. And if A's other subject is English (making it optional), then D's compulsory must be English.
   
   • A's subjects are (History, English).
   • D's subjects are (English, History).
4. Clue: "Chemistry is an optional subject..." Looking at the progress, the only teacher with a free optional slot is B. So, B's optional subject is Chemistry.
   
5. Clue: "...three others have [History] as a compulsory subject" We already know A has compulsory History. The only teachers with empty compulsory slots are B and C. Therefore, B and C must have History as their compulsory subject.
   

2. The Final Table

3. Answering the Question

The question asks who has the same two subjects as F, ignoring the compulsory/optional distinction.

• F's subjects are Mathematics and Physics.
• Looking at the table, E's subjects are also Physics and Mathematics.

Final Answer: E has the same two subject combination as F.