document.write( "Question 351532: Adam says bob lies
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document.write( "bob says charlie lies
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document.write( "charlie says Adam and bob both lie\r
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document.write( "a) if Adam telling the truth, then bob is lying. what can you conclude about char lie's statement ?\r
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document.write( "b) assume Adam is telling the truth .explain how this leads to a contradiction\r
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document.write( "c) who is telling the truth ? who is lying ? \n" );
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Algebra.Com's Answer #251165 by Jk22(389)![]() ![]() You can put this solution on YOUR website! 1) Adam says Bob lies \n" ); document.write( "2) Bob says Charlie lies \n" ); document.write( "3) Charlie says Adam and Bob both lie \n" ); document.write( " \n" ); document.write( "a) suppose Adam tells the truth, then Bob lies, \n" ); document.write( " if Bob lies, then (2) Charlie tells the truth \n" ); document.write( " \n" ); document.write( "b) if Adam tells the truth, from (a) we got Charlie tells the truth, \n" ); document.write( " then from (3) Adam should lie which contradict the hypothesis \n" ); document.write( " \n" ); document.write( "c) if Adam tells the truth, we got a contradiction, hence Adam lies \n" ); document.write( " \n" ); document.write( " if Adam lies then Bob tells the truth, \n" ); document.write( " if Bob tells the truth, then Charlie lies, \n" ); document.write( " if Charlie lies then either Adam or Bob should tell the truth \n" ); document.write( " this is not contradicting, since Adam lies, but Bob tells the truth, \n" ); document.write( " \n" ); document.write( "hence Adam lies, Bob tells the truth and Charlie lies. \n" ); document.write( " \n" ); document.write( " |