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Born Liars
Braingle.com
Edward, Howard, and John are three high school students each of whom
is taking three of the four subjects, biology, chemistry, history, and
mathematics. One day while talking about their programs they made the
following statements.
Edward: There is just one subject we're all taking. I'm the only one
of us who is taking mathematics. No two of us are taking the same
three subjects. John is wrong when he says that Howard and I are both
taking chemistry.
Howard: Ed is the only one of us who is taking history. John and I are
taking the same subjects. We're all taking biology. Two of us are
taking both chemistry and biology.
John: We're all taking mathematics. Howard is taking history. Ed is
taking one subject that I'm not. Both Howard and Ed are taking
chemistry.
If two and only two of each boy's statements are true, what subjects
is each boy taking?