Course Syllabus 575/513 Chapter references are to Tucker textbook:Applied Combinatorics, Alan Tucker, 6th edition, Wiley, 2012. Additional materials from Pearls in...

Homework Seven Quick Answers 1. 2 (263 103) 5.1.18 2. You can choose 21 21 integer pairs. In the given range 11 are even, 10 are odd. So: (11 11 10 10)/21 21...

Computer Science 575 / Math 513 Fall 2014 December 10 Office hours this week for 575/513: Wednesday 1 2:30 (no office hours monday or tuesday, except by appointment...

575/513 Homework Assignments HwkOne HwkTwo Hwk2Ans HwkThree Hwk3Ans HwkFour Hwk4Ans HwkFive Hwk5Ans HwkSix Hwk6Ans HwkSeven Hwk7Ans HwkEight Hwk8Ans HwkNine Hwk9Ans...

Homework Six quick answers 1. 27 cells, 14 black, 13 blue. Center cell is blue. HAM path must be 27 long, must start and end with black (the 14 count color). But...

Homework Nine Quick Answers 1. C(12,6) 2. Generator is (1 x x2)50 seek coefficient of x40 This begins C(89,40) C(50,1) C(86,37) C(50,2) C(83,34)... 3. Just pick...

Homework Assignment Nine You may collaborate on numbers 4,5, 8. Notation in brackets are references to problems in Tucker, 5th edition. 1 Find the coefficient of...

Homework Assignment 10 Quick Answers 1. an 2an 1 an 2 2. an 2an 1 (2n 3 an 3) 3. an an 2 2 an 3 4 an 4 4. 3n 1/2(n2 3n) or (1 Sum1,n ((k...

Homework 11 Quick Answers 1. 69 C(6,1) 59 C(6,2) 49 C(6,3) 39 ... 2. C(52,8) C(13,1) C(48,4) C(13,2) 3.SIGMA k 0,n ( 1)k C(n,k) 2k (2n 1 k)! 4. 1...

Homework 12 Quick Answers 1. For example,pi2 is (a b c d) 2. pi2 and pi3 3. 1/4 2 64 2 2 16 2 32 4. n even: 1/2(3 2n 1); n odd 1/2(3 2n 1 3 2(n 1)/2))...

Homework Assignment Twelve You may collaborate on 9 1 9.1.4 textbook editions 3,4,5,6 1 9.1.12 textbook editions 3,4,5,6 1 9.2.4 textbook editions...

Homework Assignment Ten You may collaborate on numbers 1,3,5,7. 1 Find a recurrence for the number of n letter sequences using letters A, B, and C, such that any...

Homework Assignment 11 You may collaborate on problem numbers 3,5,6 1 How many ways are there to roll 9 distinct dice so that all 6 faces appear? 8.2.2 1 What...

Homework Assignment Eight You may collaborate on 3, 6, 12. Citations in indicate problem numbers in Tucker, 6th edition. 1 Show the correctness of this binomial...

Homework Assignment Seven 1 How many different license plates involving 3 letters and 3 digits are there if the three letters appear at the beginning or at the...

Homework Assignment Six 1. Consider 27 cubes arranged in a 3x3x3 array. Form an associated graph with each cube viewed as a vertex, and with two vertices adjacent...

Quick Answers Homework Assignment 5 1. Suppose a connected graph G has 20 edges. What is the maximum number of vertices possible in G? Answer: 21 this is the tree...

CS 575 / Math 513Homework Three Quick Answers 1. Choose a max length path in G with endpoints a, b. Take a. Its links must go back into path, else path could...

Homework Five CS 575 / Math 513 You may collaborate on #2 and #6. 1. Suppose a connected graph G has 20 edges. What is the maximum number of vertices possible in...

Computer Science 575 / Math 513 Homework Assignment Four Collaboration permitted on: 6, 8,9,10 Due: Tuesday, September 30, in class RobbieMoll 17 Feb 2009

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