Final answer:
The ball-and-socket joint, particularly the shoulder joint, allows for the greatest range of motion among all joint types due to minimal ligament support.
Step-by-step explanation:
The joint that allows for the greatest range of motion and involves the greatest number of movements is the ball-and-socket joint. This type of joint features the rounded head of one bone (the ball) fitting into the concave socket of the adjacent bone, enabling movement in all directions. The best examples of ball-and-socket joints in the human body are the hip joint and the shoulder joint. However, among these, the shoulder joint provides a broader range of motion due to its minimal ligament support. In contrast, the hip joint has strong ligaments that restrict movement for added stability.