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Unformatted text preview: The University of Sydney School of Mathematics and Statistics Solutions to Quiz 1 MATH2069/2969: Discrete Mathematics and Graph Theory Semester 1, 2009 Name: SID: Enrolled in (please circle): MATH2069 MATH2969 This quiz lasts 45 minutes. There are a total of 30 marks. Note that the true/false parts of question 7 are worth only half a mark each. Answers must be written in pen in the boxes provided. Anything written in pencil or written outside the boxes will not be marked. Your answers can be given in the form of an expression such as 4 × 3 × ( 7 2 ) , if you wish, as long as it fits in the answer box – i.e. you are not required to find the numerical value. 1. (a) Complete the Difference Principle: if A is a subset of the finite set X ,  X \ A  =  X    A  (b) Complete the Inclusion/Exclusion formula:  A ∪ B ∪ C  =  A  +  B  +  C    A ∩ B    A ∩ C  B ∩ C  +  A ∩ B ∩ C  (c) Complete the table counting the ways to make an unordered selection of k...
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 Spring '09
 Math, Statistics, Graph Theory, Natural number, Characteristic polynomial, Recurrence relation

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