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The correct answer is option 2: Batch I and Batch II do not have an equal number of students.
To understand this, we need to analyze the information given in the table.
In Batch I, the number of cricket players is 8 and the number of football players is 10. However, the number of hockey players is not provided.
In Batch II, the number of cricket players is 14 and the number of football players is 16. Similar to Batch I, the number of hockey players is not provided.
In Batch III, the number of cricket players is not provided. The number of football players is 6, and the number of hockey players is 6.
From this information, we can see that the number of students playing cricket in Batch I and Batch II is different, so option 2 is correct.
The number of hockey players in Batch I and Batch III is not provided, so we cannot determine if they have an equal number of students, making option 3 incorrect.
Without the information about the number of hockey players in Batch II, we cannot determine if Batch II and Batch III have an equal number of students, making option 4 incorrect.
We don`t have any information to support Batch II being