The humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students $\text{- A, B, C, D, E, F, G}$ and $\text{H}.$ Four of them are from Economics, three from sociology and one from Anthropology department. Each student is guided by one among $\text{P, Q, R, S}$ and $\text{T}.$ Two students are guided by of $\text{P, R}$ and $\text{T},$ while one student is guided by each of $\text{Q}$ and $\text{S}.$ Each student is guided by a guide belonging to their department.
Each seminar is to be scheduled in one of four consecutive $30\text{-minute}$ slots starting at $9:00 \; \text{am}, \; 9:30 \; \text{am}, \; 10:00 \; \text{am}$ and $10:30 \; \text{am}$ on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.
The following additional facts are also known.
- Seminars by students from Economics are scheduled in each of the four slots.
- $\text{A’s}$ is the only seminar that is scheduled at $10:00 \; \text{am}. \text{A}$ is guided by $\text{R}.$
- $\text{F}$ is an Anthropology student whose seminar is scheduled at $10:30 \; \text{am}.$
- The seminar of a Sociology student is scheduled at $9:00 \; \text{am}.$
- $\text{B}$ and $\text{G}$ are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by $\text{T},$ is also scheduled in the same slot.
- $\text{P},$ who is guiding both $\text{B}$ and $\text{C},$ has students scheduled in the first two slots.
- $\text{A}$ and $\text{G}$ are scheduled in two consecutive slots.
Who all are $\text{NOT}$ guiding any Economics students$?$
- $\text{P, R}$ and $\text{S}$
- $\text{P, Q}$ and $\text{R}$
- $\text{P, Q}$ and $\text{S}$
- $\text{Q, R}$ and $\text{S}$