A box divided into four quadrants can hold a maximum of 30 particles in each quadrant.

(a) If 114 particles are placed in the box, how many basic states and macrostates are possible, if the macrostates are defined as the number of particles in the upper left quadrant?

(b) What is the most probable number of particles in the upper left quadrant?

(c) What is the average number of particles in the upper left quadrant? (Instead of considering where the particles are located, consider where they are not located.)