Final answer:
Particles can move around one another in both gases and liquids. In gases, they move freely with contact only during collisions. In liquids, they are constantly in contact but can move past each other.
Step-by-step explanation:
In the study of matter, we find that particles behave differently based on the state they are in. When considering the states of matter where particles can move around one another, we are referring to both gases and liquids. In a gas, the atoms or molecules have enough energy to move freely and are only in contact during random collisions. A liquid state is characterized by atoms or molecules that are constantly in contact but have enough energy to change positions relative to one another. They can move past each other due to adequate energy to partially overcome intermolecular forces. Therefore, to the question of 'in which state of matter are the particles able to move around one another,' the correct answer is c. gases and liquids only.