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A is a set containing n different elemen...

A is a set containing `n` different elements. A subset `PofA` is chosen. The set A is reconstructed by replacing the elements of `PdotA` suhcset `QofA` is again chosen. The number of ways of choosing `Pa n dQ` so that `PnnQ` contains exactly two elements is a. `^n C_3xx2^n` b. `^n C_2xx3^(n-2)` c. `3^(n-1)` d. none of these

A

`9*""^(n)C_(2)`

B

`3^(n)-""^(n)C_(2)`

C

`2*""^(n)C_(n)`

D

`""^(n)C_(2)*3^(n-2)`

Text Solution

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The correct Answer is:
D
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