If the student takes neither physics nor writing, then it could be true that the student also takes neither

The explanation video outlined the rules of the game as follows If History is taken, then neither statistics nor music can be taken. If music is taken, then neither physics nor theater can be taken. If writing is taken, then neither physics nor statistics can be taken. 1) H then Not S and Not M S or M then Not H 2) M then Not P and Not T P or T then Not M 3) W then Not P and Not S P or S then Not W I am confused on the wording of “nor” as I thought it would be “or” rather than “and” I diagramed the game as - 1) H then Not S “or” Not M S “And” M then Not H 2) M then Not P “Or” Not T P “And” T then Not M 3) W then Not P “Or” Not S P “And” S then Not W