Did I do this question right, a poset question?

[mahjk17]

Find all properties of 2^n where n = 7, so 2^n. For the height I got n+1= 8, for the poset size I got 2^n= 2^7, for the rank I got n+1=8, and dor the anti-chain max I got (n,n/2) = (7,7/2) .. Is this correct?

 

[HallsofIvy]

I suspect you are not giving us all the information! \(\displaystyle 2^7= 128\) and I don't see anything else to say about it. What "poset' are you talking about?

 

[mahjk17]

Sorry! "It says give all properties of 2^n. Give the height, poset size, rank, and maximum anti-chain for the subset lattice" How would I approach this problem?

 

[HallsofIvy]

Please tell us what you mean by "[itex]2^n[/itex]" here!