Suppose there are four routes from North Point to Boulder Creek, two routes from Boulder Creek to Beaver Dam, two routes from Beaver Dam to Star Lake, and three 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 Star Lake Step 2: Choose a route from Star Lake Xto Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. There are choices for step 1, choices for step 2, and (b) How many routes from North Point to Star Lake bypass Beaver Dam? choices for step 3. Thus, the answer is

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 5CT: A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The...
icon
Related questions
Question

The drop down choices are North Point, Boulder Creek, Beaver Dam, and Star Lake

Suppose there are four routes from North Point to Boulder Creek, two routes from Boulder Creek to Beaver Dam, two routes from Beaver Dam to Star Lake, and three 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
Star Lake
Step 2: Choose a route from Star Lake
X to Beaver Dam.
Step 3: Choose a route from Beaver Dam to Star Lake.
choices for step 1,
There are
choices for step 2, and
(b) How many routes from North Point to Star Lake bypass Beaver Dam?
choices for step 3. Thus, the answer is
Transcribed Image Text:Suppose there are four routes from North Point to Boulder Creek, two routes from Boulder Creek to Beaver Dam, two routes from Beaver Dam to Star Lake, and three 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 Star Lake Step 2: Choose a route from Star Lake X to Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. choices for step 1, There are choices for step 2, and (b) How many routes from North Point to Star Lake bypass Beaver Dam? choices for step 3. Thus, the answer is
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt