Two subsets \( A \) and \( B \) of a set \( S \) consisting of ' \(...
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Two subsets \( A \) and \( B \) of a set \( S \) consisting of ' \( n \) ' elements are constructed randomly. The probability that \( A \cap B=\phi \) and \( A \cup B=S \) is equal to
(A) \( 1-\left(\frac{3}{4}\right)^{n} \)
(B) \( \left(\frac{3}{4}\right)^{n} \)
(C) \( \frac{1}{2^{n}} \)
(D) \( \frac{1}{3^{n}} \)
\( \mathrm{P} \)
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