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Homework Help: Logic question

  1. Jul 12, 2010 #1
    1. The problem statement, all variables and given/known data
    A: Albert survived the plane crash
    B: Bill survived the plane crash
    C: Cory survived the plane crash

    Create the sentence (sentential logic) "at most one of them will survive the plane crash".


    2. Relevant equations



    3. The attempt at a solution
    [tex]
    \sim[(A\&B)\vee((B\&C)\vee(C\&A))][/tex]

    (In case people use a slightly different notation: ~ = 'negation', v = 'or', & = and)

    I think this covers all the cases where they do have two or three survivors. Can anyone see anything wrong with my logic?

    Thanks!
     
  2. jcsd
  3. Jul 12, 2010 #2

    Dick

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    Science Advisor
    Homework Helper

    I don't see anything wrong with that. If 0 or 1 survive, it's true, if two or three survive it's false.
     
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