Suppose That Bob and Carol Want to Take Turns, Without

Essay

Suppose that Bob and Carol want to take turns, without knowing about the other's preference list, to allocate several mathematics and statistics textbooks currently held jointly. Their ranked preferences are listed below: $\begin{array}{|l|l|ll|lll}\hline & 1 \text { st } & 2 \text { nd } & 3 r d & 4 \text { th } & 5 \text { th } & 6^{\text {th }} \\\hline \text { Bob } & \text { precalculus } & \text { calculus } & \text { algebra } & \text { statistics } & \text { trigonometry } & \text { analysis } \\\hline \text { Carol } & \text { trigonometry } & \text { algebra } & \text { precalculus } & \text { statistics } & \text { calculus } & \text { analysis }\end{array}$ If Bob chooses first, what is the division of the objects?