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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 Fall '06
 Carter
 Logic, Logical connective, Ahmed

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