Consider the following statements : 1. \( N \cup(B \cap Z)=(N \cup B) \cap Z \) for any subset \...
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0Consider the following statements :
1. \( N \cup(B \cap Z)=(N \cup B) \cap Z \) for any subset \( B \) of \( R \), where \( N \) is the set of positive integers, \( Z \) is
\( \mathrm{P} \) the set of integers, \( R \) is the set of real numbers.
2. Let \( A=\{n \in N: 1 \leq n \leq 24, n \) is a multiple of 3\( \} \). There exists no subset \( B \) of \( N \) such that the W number of elemets in \( \mathrm{A} \) is equal to the number of elements in \( \mathrm{B} \).
Which of the above statements is/are correct ?
(A) 1 only
(B) 2 only
(C) Both 1 and 2
(D) Neither 1 nor 2
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