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A is a set containing n elements. A subs...

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q of A is again chosen at random. Find the probability that (i) Q is subset of P(ii) the number of elements in P is more than the number of elements in Q.

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The correct Answer is:
`(1)/(2) - (.^(2n) C_(n))/(2^(2n + 1))`
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