A survey of 237 students in our class was conducted to determine which types of

Question

A survey of 237 students in our class was conducted to determine which types of sporting events they have attended at TAMU. Let F be the set of students who have attended a football game. Let B be the set of students who have attended a basketball game. Let S be the set of students who have attended a soccer game.Use the survey results below to create a Venn diagram and find the number of people in each section.

• 210 students have attended a football game.

• 129 students have attended a basketball game.

• 96 students have attended exactly two types of sporting events.

• 56 students have attended a football game and a soccer game.

• 43 students have attended a basketball game and a soccer game.

• 20 students haven’t attended any of the sporting events.

• 43 students have attended all three types of sporting events.

How many students have attended a football game or a basketball game, but not a soccer game?

Explanation / Answer

As the number of people attending the Soccer and Basketball is the same as those who attended all the games,

So those who attended only S and B (but not F ) =0

Number of people who attended exactly two games =96. So THose who attended both B and F but not S is 83.

The rest is self explanator.y.

The number who attended Football or Basketball but not soccer = (71+83+3) =157

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