Suppose there are four routes from North Point to Boulder Creek, three routes from Boulder Creek to Beaver Dam, three routes from Beaver Dam to Star Lake, and two routes directly from Boulder Creek Assume each route can pass through a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam? To answer this questión, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process. Step 1: Choose a route from North Point to-Select Step 2: Choose a route from Select v to Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. There are choices for step 1, choices for step 2, and choices for step 3. Thus, the answer is (b) How many routes from North Point to Star Lake bypass Beaver Dam?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Suppose there are four routes from North Point to Boulder Creek, three routes from Boulder Creek to Beaver Dam, three routes from Beaver Dam to Star Lake, and two routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch.
Assume each route can pass through a city at most one time.)
(a) How many routes from North Point to Star Lake pass through Beaver Dam?
To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process.
Step 1: Choose a route from North Point to Select-
Step 2: Choose a route from-Select-
v to Beaver Dam.
Step 3: Choose a route from Beaver Dam to Star Lake.
There are
choices for step 1,
choices for step 2, and
choices for step 3. Thus, the answer is
(b) How many routes from North Point to Star Lake bypass Beaver Dam?
Transcribed Image Text:Suppose there are four routes from North Point to Boulder Creek, three routes from Boulder Creek to Beaver Dam, three routes from Beaver Dam to Star Lake, and two routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can pass through a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam? To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process. Step 1: Choose a route from North Point to Select- Step 2: Choose a route from-Select- v to Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. There are choices for step 1, choices for step 2, and choices for step 3. Thus, the answer is (b) How many routes from North Point to Star Lake bypass Beaver Dam?
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