Murder at Clue Mansion

One rainy evening, Mr. Body killed 5 people at Clue Mansion. The people killed were Mrs. White, Mr. Green, Professor Plum, Colonel Mustard, and Ms. Scarlet. The murders took place in the kitchen, billiards room, conservatory, hall, and library. No two people were murdered with the same weapon. The weapons were candlestick, rope, revolver, knife, and lead pipe. From the clues given, try to determine the room in which each person was killed and the weapon used.

1. The murder with the lead pipe was not done in the hall or the library.
2. Mr. Green was not murdered in the kitchen.
3. The rope was not the murder weapon used in the library.
4. Neither Mrs. White nor Ms. Scarlet were murdered with the candlestick, the revolver, or the lead pipe.
5. The person who was murdered in the billiards room had just finished having dinner with Ms. Scarlet, Mr. Green, the person done in with the candlestick, and the victim of the rope.
6. Neither Mr. Green nor Professor Plum were killed with the lead pipe, in the hall, or in the library.