Let S be a set containing n elements and we select 2 subsets A and B of S at random then the probability that \[A\cup B=S\] and \[A\cap B=\varphi \] is [Orissa JEE 2005]

Let S be a set containing n elements and we select 2 subsets A and B

1.	Let S be a set containing n elements and we select 2 subsets A and B of S at random then the probability that \[A\cup B=S\] and \[A\cap B=\varphi \] is [Orissa JEE 2005]
A.	\[{{2}^{n}}\]
B.	\[{{n}^{2}}\]
C.	1/n
D.	\[1/{{2}^{n}}\]
Answer» E.

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Let S be a set containing n elements and we select 2 subsets A and B of S at random then the probability that \[A\cup B=S\] and \[A\cap B=\varphi \] is [Orissa JEE 2005]

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