The correct answer is C.) 1 and 3 only.
Here's the reasoning for each statement:
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True: In the early stages of solar system formation, a fragment of a molecular cloud (or nebula) collapsed under its own gravity, leading to rotation and eventually forming a protostar at the center (the Sun).
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False: The eight planets did not originally orbit a nearby star; they formed from the same protoplanetary disk around the Sun and did not come from another star system.
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True: Gravity plays a crucial role in the process of accretion, where small particles collide and stick together, forming larger particles and eventually leading to the formation of planets.
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False: The Sun is not pulled away from a nearby star cluster by the combined gravity of the planets; rather, it formed in isolation from a local region of a molecular cloud.
So, the correct statements are 1 and 3, leading to the answer C.