Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3: 96

Answer

n(A∪B) = 47

Work Step by Step

Given, The set A contains 12 numbers and 18 letters. number of elements in set A n(A) = 12 + 18 = 30 set B contains 14 numbers and 10 letters number of elements in set B i.e. n(B) = 14 + 10 = 24 One number and 6 letters are common to both sets A and B. The common elements of both sets is n(A∩B) = 1+6 = 7. Formula for cardinal number of union of set is: n(A∪B) = n(A)+n(B) - n(A∩B) =30 +24 -7 = 54 -7 =47 n(A∪B) = 47
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.