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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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