Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.5 Survey Problems - Exercise Set 2.5 - Page 104: 31

Answer

impossible

Work Step by Step

This is impossible because there are only $10$ elements in set $A$ ($n(A)=10$) but there are $13$ elements in set $A$ that are also in sets $B$ or $C$ ($n(A\cap B)+n(A\cap C-n(A\cap B\cap C)=6+9-2=13)$.
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