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Textbooks / Math / Mathematics: A Discrete Introduction 3 / Chapter 19 / Problem 19.11

This problem refines part (a) of the previous exercise. Again, let A1; A2; : : : ; An be

Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman ISBN: 9780840049421 447

Solution for problem 19.11 Chapter 19

Mathematics: A Discrete Introduction | 3rd Edition

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Mathematics: A Discrete Introduction | 3rd Edition | ISBN: 9780840049421 | Authors: Edward A. Scheinerman

Mathematics: A Discrete Introduction | 3rd Edition

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Problem 19.11

This problem refines part (a) of the previous exercise. Again, let A1; A2; : : : ; An be finite sets and let A D A1 [ A2 [ [ An. Please prove: jAj Xn iD1 jAi j .n 1/jA1 \ A2 \ \ Anj: Show that the factor .n 1/ in the inequality cannot be replaced by n in an attempt to give an even tighter inequality.

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Zo:r\ttl f-\>urro-\*Ve: licr ' \-"l ;\ Lx rdx*-a {*C X_ \ ,;1'A /Y\n \ LO,D L.) rl rA (il ;\ x inl {J , re ,D] *a I "-\ ( )(. x.-'L) -\ \i,2 \ -'€'A1 ''.) f I / t I VR'k= I x-\ (\x--tOx--Uf .-tK.--x\I nn MNL x -)fi LCIx+\ l.r-r-..-r^l /1 +Lx ), dr:x{ Q) 'l't-32 : (J \r,J \ Lo, il 'I-\ 'p-> . (%, clx:- ---€ i xrn ) D) -- -.,c th Vfi' Y -b \ot illfi,z Nt--'.-

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Chapter 19, Problem 19.11 is Solved
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Textbook: Mathematics: A Discrete Introduction
Edition: 3
Author: Edward A. Scheinerman
ISBN: 9780840049421

This textbook survival guide was created for the textbook: Mathematics: A Discrete Introduction, edition: 3. Since the solution to 19.11 from 19 chapter was answered, more than 234 students have viewed the full step-by-step answer. Mathematics: A Discrete Introduction was written by and is associated to the ISBN: 9780840049421. This full solution covers the following key subjects: . This expansive textbook survival guide covers 69 chapters, and 1110 solutions. The answer to “This problem refines part (a) of the previous exercise. Again, let A1; A2; : : : ; An be finite sets and let A D A1 [ A2 [ [ An. Please prove: jAj Xn iD1 jAi j .n 1/jA1 \ A2 \ \ Anj: Show that the factor .n 1/ in the inequality cannot be replaced by n in an attempt to give an even tighter inequality.” is broken down into a number of easy to follow steps, and 68 words. The full step-by-step solution to problem: 19.11 from chapter: 19 was answered by , our top Math solution expert on 03/15/18, 06:06PM.

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