For any two sets $A$ and $B$, $A-(A-B)$ equals

  • A
    $B$
  • B
    $A-B$
  • C
    $A \cap B$
  • D
    $A^{C} \cap B^{C}$

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Consider the following relations:
$(1) \, A - B = A - (A \cap B)$
$(2) \, A = (A \cap B) \cup (A - B)$
$(3) \, A - (B \cup C) = (A - B) \cup (A - C)$
Which of these is/are correct?

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