Suppose there are two routes from North Point to Boulder Creek, three routes from Boulder Creek to Beaver Dam, three routes from Beaver Dam to Star Lake, and four routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can only visit a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam?   (b) How many routes from North Point to Star Lake bypass Beaver Dam?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose there are two routes from North Point to Boulder Creek, three routes from Boulder Creek to Beaver Dam, three routes from Beaver Dam to Star Lake, and four routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can only visit a city at most one time.)
(a)
How many routes from North Point to Star Lake pass through Beaver Dam?
 
(b)
How many routes from North Point to Star Lake bypass Beaver Dam?
 
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