Mathematics · JEE | RELATIONS AND FUNCTIONS

Consider the following statements: (A) If \( n(A) = p \) and \( n(B) = q \), then \( n(A \times B) = pq \). (B) The Cartesian product is commutative, i.e., \( A \times B = B \times A \) for any two non-empty sets \( A \) and \( B \). (C) If either \( P \) or \( Q \) is a null set, then \( P \times Q \) is also a null set. (D) Two ordered pairs are equal if and only if the corresponding first elements are equal and the second elements are also equal. Which of the above statements are correct?

1. A
   (A), (C) and (D) only
2. B
   (A) and (B) only
3. C
   (B), (C) and (D) only
4. D
   All of the above