2008.semester.2

2008.semester.2 - CS202 DISCRETE MATHEMATICS SEMESTER...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
* This is a closed book, closed notes examination. * SHOW ALL WORK * The numbers in parentheses after each question is the number of points allocated to that question. * Write your answers on the examination paper in legible ink or pencil. If your answer cannot be read or understood, or if your answer is vague or confused, it will be marked wrong. * NAME ( Print Legibly. All Capitals ): PLEDGE ( Write Out In Full And Sign ): CS202 - D ISCRETE M ATHEMATICS S EMESTER E XAMINATION 2 F ALL 2008 Time Limit - Seventy Five Minutes
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Page 1 Department of Computer Science CS 202 University of Virginia Page score 1. Prove by induction that n 3 - n is divisible by three for any n 1. (10) 2. Prove using a direct proof that the difference between an even integer and an odd integer is odd. (10) 3. Prove using a proof by contradiction that for any integer n , if 3 n + 2 is odd, then n is odd. (10 pts)
Image of page 2
Page 2 Department of Computer Science CS 202 University of Virginia Page score 4. Suppose each computer purchased by a company is equally likely to be a Dell or a Lenovo. If the company buys four computers, what is the probability that: (a) All four computers are from the same manufacturer. (5)
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern