17) 33 U.S. cities with large populations were surveyed to determine whether they had a professional baseball team, a professional football team, or a professional basketball team. The following information was determined. 5 had all three teams 11 had baseball and football 7 had baseball and basketball 9 had football and basketball 16 had baseball 17 had football 15 had basketball a) Create a Venn diagram to model the information. b) How many cities had only football? c) How many cities had baseball or football? d) How many cities had both baseball and football but not basketball? e) How many had exactly two teams?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...
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17) 33 U.S. cities with large populations were surveyed to determine whether they had a
professional baseball team, a professional football team, or a professional basketball team. The
following information was determined.
5 had all three teams
11 had baseball and football
7 had baseball and basketball
9 had football and basketball
16 had baseball
17 had football
15 had basketball
a) Create a Venn diagram to model the information.
b) How many cities had only football?
c) How many cities had baseball or football?
d) How many cities had both baseball and football but not basketball?
e) How many had exactly two teams?
8
Transcribed Image Text:17) 33 U.S. cities with large populations were surveyed to determine whether they had a professional baseball team, a professional football team, or a professional basketball team. The following information was determined. 5 had all three teams 11 had baseball and football 7 had baseball and basketball 9 had football and basketball 16 had baseball 17 had football 15 had basketball a) Create a Venn diagram to model the information. b) How many cities had only football? c) How many cities had baseball or football? d) How many cities had both baseball and football but not basketball? e) How many had exactly two teams? 8
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