1. The problem statement, all variables and given/known data The stirling approximation, J! = √JJ+1/2e-J, is very handy when dealing with numbers larger than about 100. consider the following ratio: the number of ways N particles can be evenly divided between two halves of a room to the number of ways they can be divided with 60% on the right and 40% on the left. a. Show using the stirling approximation that the ratio is approximately (0.40.40.60.6/5)n 2. Relevant equations N!/NR!(N - NR)! J! = √JJ+1/2e-J 3. The attempt at a solution So i figured out the ratio to be (0.5n)!(0.4n)!/(0.5n)! Then by using the stirling approximation I get 0.6n0.6n+1/20.4n0.4n+1/2 / 0.25nn+1 all of my attempts so far have given me that answer which simplifies to 24/25. can you guys point me in the right direction/show me what I'm doing wrong?