Faculty members in a management school can belong to one of four departments - Finance and Accounting $\text{(F&A)}$, Marketing and Strategy $\text{(M&S)}$, Operations and Quants $\text{(O&Q)}$ and Behaviour and Human Resources $\text{(B&H)}$. The numbers of faculty members in $\text{F&A}$, $\text{M&S}$, $\text{O&Q}$ and $\text{B&H}$ departments are $9, 7, 5$ and $3$ respectively. Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from $\text{O&Q}$. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.
- There cannot be more than two candidates from a single department.
- A candidate cannot vote for himself/herself.
- Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received $3$ votes, Prof. Qureshi received $14$ votes, Prof. Ramaswamy received $6$ votes and Prof. Samuel received $1$ vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.
If Prof. Samuel belongs to $\text{B&H}$, which of the following statements is/are true?
Statement A: Prof. Pakrasi belongs to $\text{M&S}$.
Statement B: Prof. Ramaswamy belongs to $\text{O&Q}$.
- Only statement $\text{A}$
- Both statements $\text{A}$ and $\text{B}$
- Neither statement $\text{A}$ nor statement $\text{B}$
- Only statement $\text{B}$