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UNIVERSITY OF TORONTO FACULTY OF APPLIED SCIENCE AND ENGINEERING ECE190F — Discrete Mathematics Midterm Test October 24th, 2005 Examiners: John Carter, Paul McCabe Duration: 1 hour, 50 minutes (7:10pm to 9:00pm) This is a “closed book” test; no aids are permitted. No electronic or mechanical computing devices are permitted. Write your answers in the spaces provided. If necessary, use the backs of the pages for rough work. Show all steps and present all results clearly. State any assumptions that you may make. For full credit, answers to counting problems must be expressed as integers. Please write clearly; if we cannot read an answer, we cannot mark it. This test has 11 pages (including this one). Be sure that you have a complete paper. Name Student Number MARKS Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total Value 5 4 8 4 5 6 3 4 6 8 10 10 7 6 86 Mark Enter the first letter of your family name here. 1
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1. (5 marks) Let p , q , and r be the following statements. p = “It is winter” q = “There is snow on the ground” r = “It is cold outside” Write each of the following statements using only the symbols p , q
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