Consider the following premises. Richard is not taking a plane. Elisabeth is an office clerk or Jennifer is driving a car. Elisabeth is not an office clerk. Richard is taking a plane or John is playing a game. Can we infer the following from them? If we can, name the inference rule being used: John is playing a game and Jennifer is driving a car.
 From the fact that Elisabeth is an office clerk or Jennifer is driving a car, and that Elisabeth is not an office clerk we can infer that Jennifer is driving a car via disjunctive syllogism. From the fact that Richard is taking a plane or John is playing a game, and that Richard is not taking a plane we can infer that John is playing a game via disjunctive syllogism. Finally, from the fact that John is playing a game, and that Jennifer is driving a car we can infer that John is playing a game and Jennifer is driving a car via conjunction. Therefore, the answer is yes.