The University of Melbourne — School of Mathematics and Statistics MAST30012 Discrete Mathematics — Semester 2, 2021 Practise Class 11: Designs – Answers Q1: Break the subsets into groupings of 3 lots of 4 subsets each. Each grouping is given to a household and the detergents within the 4 subsets are compared over 4 days. […]
School of Mathematics and Statistics MAST30012 Discrete Mathematics Answers to the 2019 Exam Q1: (a) (i) 219 (ii) ( 19 2 ) (iii) ∑10 k=3 ( 19 k ) (b) ( 6 2 ) = 15 (c) 58 Q2: (a) |A ∪B ∪ C| = |A|+ |B|+ |C| − |A ∩B| − |A ∩ C|
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The University of Melbourne — School of Mathematics and Statistics MAST30012 Discrete Mathematics — Semester 2, 2021 Practice Class 2: Arrangements and Combinations – Answers Q1: (a) ✓ 20 3 ◆ = 20! 3! 17! = 1140. (b) 7 · 5 · 3 · 1 = 105. (c) � 8 2 � � 6 2
The University of Melbourne — School of Mathematics and Statistics MAST30012 Discrete Mathematics — Semester 2, 2021 Practice Class 7: Fibonacci – Answers Q1: (a) S1 = 1 and S2 = 2 . (b) After a step of size 1, n� 1 steps remain which can be climbed in Sn�1 ways. After a step of
MAST30012 Discrete Mathematics School of Mathematics and Statistics The University of Melbourne 2021 This compilation has been made in accordance with the provisions of Part VB of the copyright act for the teaching purposes of the University. For the use of students of the University of Melbourne enrolled in the subject MAST30012 Discrete Mathematics. Contents
School of Mathematics and Statistics MAST30012 Discrete Mathematics 2021 Assignment 2 Due 23:59pm Monday 27 September 2021 Student Name Student Number Tutor’s Name Practice Class Day/Time Submit your assignment online in Canvas LMS. Please attach this cover sheet to your assignment or use a blank sheet of paper as the first page of your assignment
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The University of Melbourne — School of Mathematics and Statistics MAST30012 Discrete Mathematics — Semester 2, 2021 Practice Class 8: Catalan and Functional Equations – Answers Q1: Bijections to balanced parentheses or Dyck paths are clear. Q2: (a) These are the possible diagrams on 2n points for n = 1, 2, 3: (b) Take points
School of Mathematics and Statistics MAST30012 Discrete Mathematics 2021 Assignment 2 – Solutions Q1: (a) This is true. Place the numbers into n pigeonholes as (2k−1, 2k), k = 1, . . . , n. Thus each pair of numbers have greatest common divisor 1. Since we select n+1 numbers, by the PHP at least
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COMP30026 Models of Computation – Predicate Logic: Unification and Resolution COMP30026 Models of Computation Predicate Logic: Unification and Resolution Bach Le / Anna Kalenkova Lecture Week 5 Part 1 (Zoom) Semester 2, 2021 Models of Computation (Sem 2, 2021) Predicate Logic: Unification and Resolution c© University of Melbourne 1 / 32 This Lecture is Being
School of Mathematics and Statistics MAST30012 Discrete Mathematics 2021 Assignment 1 – Solutions Q1: We first state an equivalent counting problem and then give the answer. (a) This is equivalent to choosing a subset of size 5 (the people given apples ) from a set of size 12. The answer is: ( 12 5 )
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