(3) At the local high school, 30 boys play ball. Furthermore, ten play both basketball and soccer, eleven play both soccer and baseball, and thirteen play both basketball and baseball. If six boys play all three sports, how many boys play exactly one of the three given sports? How many boys play at least one of the three given sports? Use a Venn diagram to solve the problem

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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(3) At the local high school, 30 boys play basketball, 33 play soccer, and 34 play base
ball. Furthermore, ten play both basketball and soccer, eleven play both soccer
and baseball, and thirteen play both basketball and baseball. If six boys play all
three sports, how many boys play exactly one of the three given sports? How many
boys play at least one of the three given sports? Use a Venn diagram to solve the
problem.
Transcribed Image Text:(3) At the local high school, 30 boys play basketball, 33 play soccer, and 34 play base ball. Furthermore, ten play both basketball and soccer, eleven play both soccer and baseball, and thirteen play both basketball and baseball. If six boys play all three sports, how many boys play exactly one of the three given sports? How many boys play at least one of the three given sports? Use a Venn diagram to solve the problem.
Expert Solution
Step 1

Given Information:

30 boys play basketball.

33 play soccer

34 play baseball.

10 play both basketball and soccer.

11 play both soccer and baseball

13 play both basketball and baseball.

6 boys play all three sports.

 

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