How many had exactly two teams?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
85 cities were surveyed to determine sports teams. 25
had soccer, 19 had rugby, 18 had basketball, 11 had
soccer and rugby, 12 had soccer and basketball, 11 had
rugby and basketball. 6 had all three.
Let A = soccer, B = rugby, C = basketball.
How many had only a basketball team?
1
How many had soccer and rugby, but not basketball?
5
How many had soccer or rugby?
33
How many had soccer or rugby, but not basketball?
16
How many had exactly two teams?
U
A
I
IV
II
VII
VI
III
с
B
VIII
Transcribed Image Text:85 cities were surveyed to determine sports teams. 25 had soccer, 19 had rugby, 18 had basketball, 11 had soccer and rugby, 12 had soccer and basketball, 11 had rugby and basketball. 6 had all three. Let A = soccer, B = rugby, C = basketball. How many had only a basketball team? 1 How many had soccer and rugby, but not basketball? 5 How many had soccer or rugby? 33 How many had soccer or rugby, but not basketball? 16 How many had exactly two teams? U A I IV II VII VI III с B VIII
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