Hi! Please help me with number 15. of this logic problem. thank you.

cable layer game # 2 Questions 11-17 What is the greatest number of rooms that could be The seven members of an academic department are each to be between the rooms to which F and G are assigned? assigned a different room as an office. The department (A) one members are professors F and G, lecturers Q. R, and S, and (B) two instructors V and W. The available rooms are seven (C) three consecutive rooms along one side of a straight hallway four numbered sequentially 101 through 107. The assignment must five conform to the following conditions: Neither instructor is assigned a room next to a professor's 15. Which one of the following CANNOT be assigned room room. 104 ? Neither professor is assigned room 101 and neither professor is assigned room 107. (A) F G is not assigned a room next to R's room. (B) G cell shaved us we cold have ruse W is not assigned a room next to V's room unless R is also assigned a room next to V's room. @ 12's right answer had vin 104 If F and G are assigned rooms that have exactly one room between them, which one of the following is the 16. If no two faculty members of the same rank are assigned list of department members each of whom could be true? adjacent rooms, which one of the following must be assigned to the intervening room? QR (BY F is assigned either room 103 or else room 104. (A) Q is assigned either room 102 or else room 106. (B) Q, S ( Q. V (C) R is assigned either room 102 or else room 105, (D) R. W S is assigned either room 104 or else room 105. S, V V is assigned either room 101 or else room 107. Which one of the following is a possible assignment of 17. If F and G are not assigned rooms that are next to each rooms for members R, V, and W ? other, which one of the following CANNOT be assigned VWR _ _ _VWR. room 107 ? (A) 101: V; 102: W; 103: R WV _R. RWV 101: V; 102: W; 104: R 101: V; 103: W; 104: R 103: W; 104: V; 106: R 105: R; 106: W: 107: V 13. If R is assigned room 104, which one of the following must be assigned either room 103 or else room 105 ? (A) F in one case cold be to 2 & 3 w / doesn't have to bebic GO ON TO THE NEXT PAGE. P P ell ii FG QRS V W QRSVW