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Consider the network shown in the image. A double headed arrow i→j indicates that there is an edge i→j and an edge j→ i. a) Compute the number of paths consisting of exactly 10 edges, which start at the vertex 1, end at the vertex 2, and do not pass through the vertex 3. b) Compute the number of paths consisting of exactly 10 edges, which start at the vertex 1, end at the vertex 2, and pass through the vertex 3 at least once. Enter your answer to part a): 327 327 Enter your answer to part b): 4112 4112

Consider the network shown in the image. A double headed arrow i→j indicates that there is an edge i→j and an edge j→ i. a) Compute the number of paths consisting of exactly 10 edges, which start at the vertex 1, end at the vertex 2, and do not pass through the vertex 3. b) Compute the number of paths consisting of exactly 10 edges, which start at the vertex 1, end at the vertex 2, and pass through the vertex 3 at least once. Enter your answer to part a): 327 327 Enter your answer to part b): 4112 4112

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 34EQ
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Consider the network shown in the image. A double headed arrow i→j indicates that there is an edge i→j and an edge j→ i. a) Compute the number of paths consisting of exactly 10 edges, which start at the vertex 1, end at the vertex 2, and do not pass through the vertex 3. b) Compute the number of paths consisting of exactly 10 edges, which start at the vertex 1, end at the vertex 2, and pass through the vertex 3 at least once. Enter your answer to part a): 327 327 Enter your answer to part b): 4112 4112
Transcribed Image Text:Consider the network shown in the image. A double headed arrow i→j indicates that there is an edge i→j and an edge j→ i. a) Compute the number of paths consisting of exactly 10 edges, which start at the vertex 1, end at the vertex 2, and do not pass through the vertex 3. b) Compute the number of paths consisting of exactly 10 edges, which start at the vertex 1, end at the vertex 2, and pass through the vertex 3 at least once. Enter your answer to part a): 327 327 Enter your answer to part b): 4112 4112
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