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The correct answer is option 2, Vajji. Vajji was a Mahajanapada in ancient India, and it was known for its republican form of government. The term "gana" or "sangha" refers to an oligarchy, which is a system of government where power is concentrated in the hands of a few ruling elite.
Magadha (option 1) was also a Mahajanapada, but it was not known for its republican form of government. It had a monarchical system, with a king as the ruler.
Avanti (option 3) and Kosala (option 4) were also Mahajanapadas, but they were neither known for their republican nor oligarchic form of government. Avanti had a monarchical system, while Kosala was ruled by kings who belonged to the Ikshvaku dynasty.
Therefore, the correct answer is Vajji (option 2), as it had a gana/sangha system, which was a form of oligarchy. Alert - correct answer should be: None.