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Question
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 $$Q$$ of $$A$$ is again chosen. the number of ways of choosing $$P$$ and $$Q$$ so that $$P \cap Q$$
A
$$9. ^{n}C_{2}$$
B
$$3^{n}- ^{n}C_{2}$$
C
$$^{n}C_{2}.3^{n-2}$$
D
$$4^{n}-3^{n}$$
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Solution
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Correct option is A. $$9. ^{n}C_{2}$$
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