Suppose that nas and nbs are distributed around the

Chapter 5, Problem 5.160

(choose chapter or problem)

Suppose that nas and nbs are distributed around the outside of a circle. Use mathematical induction to prove that for all integers n 1, given any such arrangement, it is possible to nd a starting point so that if one travels around the circle in a clockwise direction, the number of as one has passed is never less than the number of bs one has passed. For example, in the diagram shown below, one could start at the a with an asterisk.

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