There are four routes, A, B, C, and D, between a per-son’s home and the place where he works, but route B is one-way, so he cannot take it on the way to work, androute C is one-way, so he cannot take it on the way home.(a) Draw a tree diagram showing the various ways theperson can go to and from work.(b) Draw a tree diagram showing the various ways hecan go to and from work without taking the same routeboth ways.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 71E
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There are four routes, A, B, C, and D, between a per-
son’s home and the place where he works, but route B
is one-way, so he cannot take it on the way to work, and
route C is one-way, so he cannot take it on the way home.
(a) Draw a tree diagram showing the various ways the
person can go to and from work.
(b) Draw a tree diagram showing the various ways he
can go to and from work without taking the same route
both ways.
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