A number of distinguishable spherical beads, each having a radius of \(15.0 \mathrm{~mm}\), are placed into individual compartments in a \(1.00-\mathrm{m}^{3}\) container. The same number of beads, each having a radius of \(20.0 \mathrm{~mm}\), are placed into different compartments in a container of the same volume.

Which system has the greater entropy, and by what factor? Assume that each compartment is a cube, with each side equal to the diameter of the bead.