Agatha Christie, often called the Queen of Crime, is the best selling novelist of all time, according to the Guinness Book of World Records. In Christie's stories, you never quite knew who the murderer would be. She gave readers clues and red herrings to keep them flipping the pages.Six other people were in a mansion when Mr. Edwards was murdered in the attic, but each has an alibi backed up by another person. Ms. Abbott says that she saw Vicar Carter reading in the study at the time. Mrs. Blyth says she saw Ms. Doyle exit the mansion for a walk. Vicar Carter says he saw Mr. Gibson walking the grounds as he looked out the window. Ms. Doyle says she saw Mrs. Foseberry in the garden. Mr. Gibson says he saw Ms. Abbott dusting the hallway. Mrs. Foseberry says she saw Mrs. Blyth in the sitting room through the window. Each person confirms that they were doing what they were observed to be doing.If at least one of the six were involved in the murder, what is the minimum number of them who are lying?
