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X={1,2,3,....2017} and AsubX; BsubX;AuuB...

`X={1,2,3,....2017}` and `AsubX; BsubX;AuuBsubX` here `PsubQ` denotes that P is subset of `Q(P!=Q)` Then number of ways of selecting unordered pair of sets A and B such that `AuuBsubX.`

A

`((4^(2017)-3^(2017))+(2^(2017)-1))/(2)`

B

`((4^(2017)-3^(2017)))/(2)`

C

`(4^(2017)-3^(2017)+2^(2017))/(2)`

D

none

Text Solution

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The correct Answer is:
A
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