On the eve of a special function in view of ‘National Integration’, seven participants – $\text{A, B, C, D, E, F}$ and $\text{G}$, are to be accommodated in two rooms, each room having a capacity of four persons only. For the allocation, the following conditions must be considered.
- $\text{A}$, a Gujarati, also speak Tamil and Bengali.
- $\text{B}$ and $\text{F}$ are both Bengali and speak only that language
- $\text{C},$ a Gujarati, also speaks Tamil.
- $\text{D}$ and $\text{G}$ are Tamilians and speak only Tamil.
- $\text{E}$, a Gujarati, also speaks Bengali.
- Bengalis and Tamilians refuse to share their rooms with each other.
Further, it is necessary for each participant in a room to be able to converse with at least one other participant in the same room, in at least one language.
What is the total number of various combinations of room-mates possible, which satisfy all the conditions mentioned?
- $2$
- $3$
- $4$
- $5$