The correct option is
A History
F's compulsory subject is Mathematics, then Physics will be the optional subject of F.
History ans English are A's subject. Since D's optional subject is History, then English will be the compulsory subject.
Hence, A's compulsory subject is History and optional will be English.
Since Maths is an optional subject of E, then Physics will be compulsory subject.
Since History is compulsory subject of three persons.
Hence B and C has History as compulsory subject.
Then, mathematics is optional subject of C.
Since only B remains and Chemistry is an optional subject of only one person.
So,Chemistry is optional subject of B
We can summarize the data in table form. | A | B | C | D | E | F |
History | Co | Co | Co | Op | | |
Physics | | | | | Co | Op |
Mathematics | | | Op | | Op | Co |
English | Op | | | Co | | |
Chemistry | | Op | | | | |
Now, from the table we can see that C's compulsory subject is History.
Hence, History is the answer.