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Take the power set. It has 2^(2n+1) members.
Replace any member which has n+1 or more elements by its complements.
Now the power set has members, which has n or fewer elements, and each such such member appears twice.
Therefore, when multiplicity is removed, you get 2^(2n+1)/2 members, which is 2^(2n).
Hence
2^2n = 4096
2^2n = 2^12
2n = 12
n = 6
Regards
Arun (askIITians forum expert)
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