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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. The set A is reconstructed by replacing the elements of P. A subset of A is again chosen. Find the number of ways of choosing P and Q,
so that
(i) `P capQ` contains exactly r elements.
(ii) `PcapQ` contains exactly 2 elements.
(iii) `P cap Q=phi`

Text Solution

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The correct Answer is:
`3^(n)`
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