Recent content by Casual

This exercise is from my Discrete Mathematics course and it requires a step by step solution, backed up by logical equivalences or deductions made based on the rules of logic. 5 students, Oliver, Simon, Peter, Bob and Christie all seniors at Harvard, come from one of the following cities...

How about this. Since the question is whether there is a way for them to sit, fulfilling everyone's wishes, it would mean that it's enough to prove that such a sitting order exists. Let A,B,C,D be numbers from and 1 to 4, representing the positions of the team members, 1 being the front and 4...

Here I am with another problem... :) It's from a Discrete Mathematics course and it requires a step by step proof with logical equivalences and deductions made based on the laws of logic. A,B,C and D are all on the same canoe team. They don't know what sitting order they should make and all of...

Managed to solve it, by taking the three conditions for telling the truth, and adding three conditions for when they're lying. Worked like a charm. Thanks!

What if I added [FONT=MathJax_Main]¬S -> R as a condition and then got R out of here? Without the assumption that if they're lying it would mean that the negation of what there implying is true, I find this exercise impossible to solve. My verbal approach to the exercise would go as follows: If...

The Subject is Discrete Mathematics as part of a Computer Science major. The exercise is as follows: Erica, Stanley and Robert were all witnesses in a car crash. Their statements are contradictory to one another, and all of them claimed that someone else lied. Erica claimed that Stanley lied...