Entropy
1. Suppose a room has n molecules of a gas. We divide the room into k equal
parts. How many ways can the molecules be split evenly between the parts (you
may assume that n is divisible by k)? How many ways can the molecules be in
only one part? What are the most common arrangements?
2. Suppose there are three diff�erent kinds of gas molecules (ni of each with
n1 + n2 + n3 = n). How does this aff�ect the number of arrangements?