M118Fall09 Exam Jam Problem Set

M118Fall09 Exam Jam Problem Set - Fall 2009 Exam Jam...

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Fall 2009 Exam Jam Problem Set MATH M118 Mathematics Assistance Center, IUPUI Page 1 of 19 The names in parenthesis include course #, book ISBN #, chapter #, section #, and problem #. Problem: 1 (118i0738013102_c1s1p13) Given that p is true and q is true, determine the truth of each of the following statements. a. p ¬ b. q ¬ c. q p ¬ ¬ d. ) ( q p ¬ e. q p ¬ ¬ f. ) ( q p ¬ Problem: 2 (118i9780738021089_c1s2p20) Construct a truth table for the statement q q p ¬ ) ( to determine if it is a tautology.
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Fall 2009 Exam Jam Problem Set MATH M118 Mathematics Assistance Center, IUPUI Page 2 of 19 The names in parenthesis include course #, book ISBN #, chapter #, section #, and problem #. Problem: 3 (118i0738013102_c1s4p7) If p is true, q is true, and r is true, determine the truth value of the following statements. a. r q p ] [ b. q q p p ¬ ¬ )) ( ( Problem: 4 (118i0738013102_c1s4p22) Given the statement, If it rains, it pours. a) Write the contrapositive statement. b) Write the converse statement. c) Write the inverse statement. Problem: 5 (118i9780738021089_c1s4p11) Construct a truth table for the statement q p q p ¬ ¬ ¬ ) ( to determine if it is a tautology or contradiction.
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Fall 2009 Exam Jam Problem Set MATH M118 Mathematics Assistance Center, IUPUI Page 3 of 19 The names in parenthesis include course #, book ISBN #, chapter #, section #, and problem #. Problem: 6 (118i0738013102_c2s2p21) Let { , , , , , }, { , }, { , , , }, U abcde f A ae B bcde = = = and { } f c C , = . Find the following. a. () AB C ∩∪ b. A BC c. AB × Problem: 7 (118i0738013102_c2s3p21) Of the 72 students in a mathematics class, 37 are taking French, 32 are taking German, and 9 are taking both French and German. How many students in the mathematics class are taking neither French nor German?
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Fall 2009 Exam Jam Problem Set MATH M118 Mathematics Assistance Center, IUPUI Page 4 of 19 The names in parenthesis include course #, book ISBN #, chapter #, section #, and problem #. Problem: 8 (118i0738013102_c2s4p18) A sample of 100 students was surveyed about their preferences for types of music played on the radio. The choices to select from were rock, blues, and country. The results of the survey are listed below: 72 like rock 22 like rock and blues 12 like all three 40 like blues 20 like rock and country 37 like country 27 like country and blues a. How many students surveyed like only one of the three types of music? b. How many students surveyed like none of the three types of music? c. How many students surveyed like at least two of the three types of music? Problem: 9 (118i0738013102_c3s1p20) How many license plates can be produced using five symbols on each plate where the first two symbols are different letters of the alphabet and the following three symbols are different numbers selected from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}? No number or letter can be repeated on the same license plate.
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Fall 2009 Exam Jam Problem Set MATH M118 Mathematics Assistance Center, IUPUI Page 5 of 19 The names in parenthesis include course #, book ISBN #, chapter #, section #, and problem #.
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M118Fall09 Exam Jam Problem Set - Fall 2009 Exam Jam...

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