Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Section 6.2 - Cardinality - Exercises - Page 416: 36

Answer

n(N $\cup$ U)=75

Work Step by Step

N$\cap$U is the set of authors who are new and unsuccessful. N$\cup$U is the set of authors who are either new or successful (or both) n(N) = 20 (total of column 1) n(U) = 70 (total of row 2) n(N$\cap$U)=15 (intersection of row 2 and column 1) n(N$\cup$U)= (total new=20, which includes 15 unsuccessful) + (another 55 unsuccessful) =75 (all 70 unsuccessful and all 20 new authors have been counted) n(N)+n(U)-n(N$\cap$U)=20+70-15=75 (verified)
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