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## DISCRETE STRUCTURES

by: Mr. Molly Kessler

32

0

2

# DISCRETE STRUCTURES CSC 2259

Mr. Molly Kessler
LSU
GPA 3.62

K. Busch

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COURSE
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K. Busch
TYPE
Class Notes
PAGES
2
WORDS
KARMA
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## Popular in ComputerScienence

This 2 page Class Notes was uploaded by Mr. Molly Kessler on Tuesday October 13, 2015. The Class Notes belongs to CSC 2259 at Louisiana State University taught by K. Busch in Fall. Since its upload, it has received 32 views. For similar materials see /class/222866/csc-2259-louisiana-state-university in ComputerScienence at Louisiana State University.

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Date Created: 10/13/15
CSC 2259 7 Discrete Structures Practice Final Examination Problem 1 Use induction to prove the following statements a For every positive integer n 1 2233471 1 b Any postage of n 2 8 cents can be formed with post stamps of 3 and 5 cents Problem 2 Answer the following problems on the merge sort algorithm a Use merge sort to sort zbfmg hap according to lexicographic order Show all the steps of your algorithm b i What is the big O complexity of merge sort in terms of compar isons given 71 items ii What is the recursive formula that describes the number of com parisons of merge sort Problem 3 Use the pigeonhole principle to prove the following a If there are 100000000 wage earners in the United States who earn less than 1000000 dollars per year then there are two who earned exactly the same amount of money to the penny last year consider amounts with two decimal digits U How many people do we need so that at least 3 of them have birthday in the same day of the year Problem 4 Answer the following two problems explain your answers 1 Given 7 people how many ways are there to arrange them in order 2 Given 7 people how many ways are there to select 3 of them and place them in order rst second third

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