In this logic problem, three boys are positioned in different rooms. The challenge is to identify who is in each room based on the characteristics of each boy:1. **Ernest** always tells the truth.2. **Barry** sometimes tells the truth.3. **Mario** never tells the truth.The statements made by the person in each room are as follows:- **Room 1**: "The guy in Room 2 is Mario."- **Room 2**: "I'm Barry."- **Room 3**: "The guy in Room 2 is Ernest."Based on these statements, you must determine the correct arrangement of the boys in the rooms. The options to choose from are:- **A)** Room 1 - Mario; Room 2 - Barry; Room 3 - Ernest- **B)** Room 1 - Ernest; Room 2 - Mario; Room 3 - Barry- **C)** Room 1 - Barry; Room 2 - Ernest; Room 3 - Mario- **D)** Room 1 - Mario; Room 2 - Ernest; Room 3 - BarryAnalyze the given statements and use deductive reasoning to solve the problem.

Answered: Image /qna-images/answer/3a202040-702e-4be9-a6e3-a9c4206c85eb.jpg

Answered: . Three boys are in three different…

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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You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you have 5 friends who want to come along. 1. Does order matter in this situation? For example, would bringing friends 1, 2, and 3 count as a different combination than bringing friends 1, 3, and 2? Explain your reasoning. 2. How many different groups of friends could you take with you? 3. Explain how you got your answer. 4. What patterns did you recognize as you worked through this problem?

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