$A$ and $B$ are two sets having $3$ and $6$ elements respectively. Consider the following statements. Statement $(I)$: Minimum number of elements in $A \cup B$ is $6$. Statement $(II)$: Maximum number of elements in $A \cap B$ is $3$. Which of the following is correct?

  • A
    Statement $(I)$ is true,statement $(II)$ is false
  • B
    Statement $(I)$ is false,statement $(II)$ is true
  • C
    Both statements $(I)$ and $(II)$ are true
  • D
    Both statements $(I)$ and $(II)$ are false

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