soccer, 19 rugby, 18 had cer and rugby, 12 had soccer and basketball, 11 had by and basketball. 6 had all three. A=soccer, B= rugby, C = basketball. many had only a basketball team? many had soccer and rugby, but not basketball? many had soccer or rugby? I IV V VII III VI С VIII

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 36RE: In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president,...
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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?
A
I
IV
II
V
VII
III
VI
C
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? A I IV II V VII III VI C B VIII
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