A college principal wishes to select four members of a faculty–student committee as representatives to celebrate the institute’s Silver Jubilee Celebrations. The faculty are Anup, Bhavya, Chetan and Divya and the four students are Rohit, Sandeep, Tanuja and Usha. The principal can select the members as representatives based on the following conditions.
(i) The team of four members must have exactly two faculty members and two students.
(ii) Either Anup or Bhavya must be one of the representatives.
(iii) Both Anup and Bhavya cannot be representatives.
(iv) If Rohit is a representative, Chetan must also be selected.
(v) If Tanuja is selected, Bhavya cannot be a representative.
If neither Sandeep nor Usha is represented, which of the following faculty must be in the team?