hw6 - Question 4. Let a, b be integers such that 0 < a...

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ECE 103 Discrete Math for Engineers University of Waterloo Spring 2010 Instructors: Koray Karabina, Ashwin Nayak Homework 6, due June 28, 2010 Note: All questions carry 5 marks. Question 1. Exercises 3 and 5, page 130 of the text book. Question 2. Exercises 20 and 19 (only the first part), page 131 of the text book. Interpret the expression in Exercise 19 as counting some number of objects to obtain your solution. Question 3. Exercise 22, page 131 of the text book.
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Unformatted text preview: Question 4. Let a, b be integers such that 0 < a < p , 0 b < p , and p is prime. Dene a function f : { , 1 , . . . , p-1 } { , 1 , . . . , p-1 } as follows. For any x in the domain, f ( x ) is the remainder when ax + b is divided by p . Show that the function is a bijection. Question 5. Exercise 15, page 131 of the text book. Use mathematical induction. (This is the hockey stick property of the Pascal triangle!) 1...
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This note was uploaded on 09/28/2011 for the course ECE 103 taught by Professor Nayak during the Spring '11 term at Waterloo.

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