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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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