Consider the following premises. For all z, z will play tennis. There is at least one z for which if z were excited, then z is a bartender. For all z, z is excited or z is a taxi driver. For all z, if z were a taxi driver, then z is a bartender. Can we infer the following from them? Some bartenders will play tennis.
 From the fact that there is at least one z for which if z were excited, then z is a bartender, that for all z, if z were a taxi driver, then z is a bartender, and that for all z, z is excited or z is a taxi driver we can infer that there is at least one z for which z is a bartender. Finally, from the fact that there is at least one z for which z is a bartender, and that for all z, z will play tennis we can infer that some bartenders will play tennis. Therefore, the answer is yes.