What is a characteristic feature of a Pelham bit?

A Pelham bit is characterized by its versatility in the design of the mouthpiece, as it can indeed feature either a solid or jointed mouthpiece. The ability to have either type allows it to be used in various situations and with different horses, catering to the individual needs of the rider and horse combination. The mouthpiece style can affect the way the horse responds to the bit, making it an important consideration when selecting the appropriate bit for training or riding.

The other options do not accurately capture the nature of the Pelham bit. For instance, stating that it only has a solid mouthpiece or that it connects with one type of rein would limit its functionality, while the claim about having no leverage action does not apply since Pelham bits are specifically designed to incorporate leverage, allowing riders to communicate more effectively with their horse.