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Math / Discrete Mathematics and Its Applications 7 / Chapter 1.2 / Problem 34E

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

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Chapter 1, Problem 34E

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QUESTION:

The exercise is a puzzle that can be solved by translating Statements into logical expressions and reasoning from these expressions using truth tables.Five friends have access to a chat room. Is it possible to determine who is chatting if the following information is known? Either Kevin or Heather, or both, are chatting. Either Randy or Vijay, but not both, are chatting. If Abby is chatting, so is Randy. Vijay and Kevin are either both chatting or neither is. If Heather is chatting, then so are Abby and Kevin. Explain your reasoning.

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QUESTION:

The exercise is a puzzle that can be solved by translating Statements into logical expressions and reasoning from these expressions using truth tables.Five friends have access to a chat room. Is it possible to determine who is chatting if the following information is known? Either Kevin or Heather, or both, are chatting. Either Randy or Vijay, but not both, are chatting. If Abby is chatting, so is Randy. Vijay and Kevin are either both chatting or neither is. If Heather is chatting, then so are Abby and Kevin. Explain your reasoning.

ANSWER:

SOLUTIONStep 1 We have to solve the puzzle by translating statements into logical expressions, using truth table.

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