Step-by-step explanation:
If a deduction has contradictory premises (either one contradictory premise or a contradiction between the premises), the argument must be invalid. This is because a contradiction in the premises makes the argument unsound, and therefore invalid. A sound argument is one where the premises are true, and the conclusion logically follows from the premises. A contradiction in the premises means that at least one of the premises is false, and therefore the argument cannot be sound or valid.