Imaginenmolecules of gas confined to a rigid container divided into two chambers by a semipermeable membrane. Ifimolecules are in the left chamber theentropyof the system is defined by the equation

Entropy = log (nchoosei)

Ifnis even, for what configuration of molecules will the the entropy be maximized?

(As a hint it says: Consider proving that successive terms in the sequence (n choose 0), (n choose 1), ..., (n choose n) first increase and then decrease).