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# Discrete mathematicians especially enjoy counting problems: problems that ask how many ISBN: 9780840049421 447

## Solution for problem 3.12 Chapter 3

Mathematics: A Discrete Introduction | 3rd Edition

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Problem 3.12

Discrete mathematicians especially enjoy counting problems: problems that ask how many. Here we consider the question: How many positive divisors does a number have? For example, 6 has four positive divisors: 1, 2, 3, and 6. How many positive divisors does each of the following have? a. 8. b. 32. c. 2 n where n is a positive integer. d. 10. e. 100 f. 1,000,000.g. 10n where n is a positive integer.h. 30 D 2 3 5.i. 42 D 2 3 7. (Why do 30 and 42 have the same number of positive divisors?)j. 2310 D 2 3 5 7 11.k. 1 2 3 4 5 6 7 8.l. 0.3.13. An int

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MATH241­Lecture 1: 3d Coordinates 3  3D coordinate system is denoted by R  The distance between two lines in three dimensions is given by 2 2 2 D= (√−x ) +1y−y ) +(z1z ) 1 2 3  We need to be careful about translating things from...

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##### ISBN: 9780840049421

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