Can the following scenario occur? Explain. There are 95 students who play at least one of football, basket ball and baseball. There are 64 football players, 28 basketball players and 29 baseball players. There are 17 students who play both football and basketball, 13 students who play both football and baseball and 12 students who play both basketball and baseball.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 41SE: A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3...
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This question(attached)  is related to discrete math and revolves around the Principle of Inclusion/Exclusion. How to apply this principle for the given problem?

8.
Can the following scenario occur? Explain. There are 95 students who play at least one
of football, basket ball and baseball. There are 64 football players, 28 basketball players
and 29 baseball players. There are 17 students who play both football and basketball, 13
students who play both football and baseball and 12 students who play both basketball
and baseball.
Transcribed Image Text:8. Can the following scenario occur? Explain. There are 95 students who play at least one of football, basket ball and baseball. There are 64 football players, 28 basketball players and 29 baseball players. There are 17 students who play both football and basketball, 13 students who play both football and baseball and 12 students who play both basketball and baseball.
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