Discrete and Foundational Mathematics I quiz 7 Solutions

So we must prove that in a line of k 1 people in

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Unformatted text preview: man. 3. Induction step: Prove true for n = k + 1. So we must prove that in a line of k + 1 people in which a woman is in front and a man in back, that somewhere in this line we have a woman directly in front of a man. So let a woman be in first place and a man in last place. Now consider the penultimate person. This person is either a woman or a man. So we have two cases. (a) Case I: The penultimate person is a woman. Then she is directly in front of the man last in line. So in this case, we have a woman directly in front of...
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This note was uploaded on 01/31/2014 for the course MATH 187 taught by Professor Holmes during the Fall '08 term at Boise State.

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