**Solve the Problem**Suppose there are 8 roads connecting town A to town B and 4 roads connecting town B to town C. In how many ways can a person travel from A to C via B?- ○ 32 ways- ○ 64 ways- ○ 12 ways- ○ 16 ways**Explanation:**To determine the number of ways a person can travel from town A to town C via town B, we need to consider the separate routes between each segment:1. **From A to B:** There are 8 roads available.2. **From B to C:** There are 4 roads available.To find the total number of ways to travel from A to C via B, multiply the number of ways for each segment:\[ \text{Total ways} = 8 \times 4 = 32 \]Therefore, the correct answer is 32 ways.

Solution: From the given information, there are 8 roads connecting town A to town B and 4 roads…

Answered: Suppose there are 8 roads connecting…

Suppose there are 8 roads connecting town A to town B and 4 roads connecting town B to town C. In how many ways can a person travel from A to C via B? O 32 ways O 64 ways O 12 ways O 16 ways

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Question

**Solve the Problem**

Suppose there are 8 roads connecting town A to town B and 4 roads connecting town B to town C. In how many ways can a person travel from A to C via B?

- ○ 32 ways
- ○ 64 ways
- ○ 12 ways
- ○ 16 ways

**Explanation:**

To determine the number of ways a person can travel from town A to town C via town B, we need to consider the separate routes between each segment:

1. **From A to B:** There are 8 roads available.
2. **From B to C:** There are 4 roads available.

To find the total number of ways to travel from A to C via B, multiply the number of ways for each segment:

\[ \text{Total ways} = 8 \times 4 = 32 \]

Therefore, the correct answer is 32 ways.

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