Discrete and Foundational Mathematics I quiz 7 Solutions

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

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

## 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.

Ask a homework question - tutors are online