Consider the following premises. John is running. It is sunny. If Michael takes a plane, then Barbara is not listening to a song. If John goes running, then Barbara is listening to a song. Can we infer the following from them? If we can, name the inference rule being used: It is sunny and Michael is not taking a plane.
 From the fact that if John goes running, then Barbara is listening to a song, and that John is running we can infer that Barbara is listening to a song via modus ponens. From the fact that if Michael takes a plane, then Barbara is not listening to a song, and that Barbara is listening to a song we can infer that Michael is not taking a plane via modus tollens. Finally, from the fact that it is sunny, and that Michael is not taking a plane we can infer that it is sunny and Michael is not taking a plane via conjunction. Therefore, the answer is yes.