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2005.2ndSemester

2005.2ndSemester - CS202 DISCRETE MATHEMATICS SEMESTER...

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* This is a closed book, closed notes examination. * Write your answers on the examination paper in ink or legible pencil. * If your answer cannot be read or understood , or if your answer is vague or confused, it will be marked wrong. * The numbers in parentheses after each question is the number of points allocated to that question. NAME ( Print Legibly. All Capitals ): PLEDGE ( Write Out In Full And Sign ): CS202 - D ISCRETE M ATHEMATICS S EMESTER E XAMINATION 2 F ALL 2005 Time Limit - Seventy Five Minutes

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Page 1 Department of Computer Science CS 202 University of Virginia Page score 1. Show that the set identity: A ∪ Β = Α ∪ Β is false using the method of membership tables. (Hint: Draw a Venn diagram) (15) 2. Show that the set identity: A ∩ Β = Α ∪ Β is true using the method of subsets. (Hint: Draw a Venn diagram) (15)
Page 2 Department of Computer Science CS 202 University of Virginia Page score 3. Carefully state (but do not prove) the halting problem . (6) 4. Give an example of proof by

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2005.2ndSemester - CS202 DISCRETE MATHEMATICS SEMESTER...

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