discrete math need translation into logic symbols and truth tables When planning
ID: 3119216 • Letter: D
Question
discrete math need translation into logic symbols and truth tables
When planning a party you want to know whom to invite. Among the people you would like to invite are three touchy friends. You know that if Jasmine attends, she will become unhappy if Samir is there, Samir will only attend if Kanti will be there, and Kanti will not attend unless Jasmine also does. Which combinations of these three friends can you invite so as to not make someone unhappy? Rewrite this problem in terms of propositions and logical symbols to show how you can reach your conclusion. Steve would like to determine the relative salaries of three coworkers using two facts. First, he knows that if Fred is not the highest paid of the three, then Janice is. Second, he knows that if Janice is not the lowest paid, then Maggie is paid the most. Is it possible to determine relative salaries of Fred, Maggie, and Janice from what Steve knows? If so, who is paid the most and who the least? Explain your reasoning. It may help to assign letters or words to propositions and use logical symbols.Explanation / Answer
4. Case-1
When all three attend party. But Jasmine will become unhappy as Samir is present in the party. So we reject this case.
Case-2
When only Samir is invited in the party then Kirti must attend the party. For kanti to be in party, Jasmine must be present in the party. This will create problem again. We reject this also.
Case-3
When only Kanti invited then Jasmine must attend the party.
Case-4
When only Jasmine comes.
Hence for making happy situation we invite Jasmine and Kanti only. Or just Jasmine.
K=>Kanti
J=>Jasmine
S=>Samir
Our logic will be:
S K J Happy Situation F F F F F F T T F T F F F T T T T F F F T F T F T T F F T T T FRelated Questions
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