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Four hundred thirty people were surveyed as they left the FSU-Virginia basketball game at the Tucker Center. The results were as follows:250attended the FSU-Marist game (M)195attended the FSU-Butler game (B)175attended the FSU-NC State game (NCS)80attended the Marist game and the NC State game65attended the NC State game and the Butler game90attended the Butler game and the Marist game20attended all three of the gamesHow many attended only the FSU-Butler game?How many did not attend the Marist, Butler, or North Carolina State games?How many attended at least two of these games?How many attended the Marist and Butler games, but not the North Carolina State game?How many attended the North Carolina State or the Butler game?

Sagot :

Solution:

Given that 430 people were surveyed as they left the FSU-Virginia basketball game at the Tucker Center, the results are as illustrated in a Venn diagram below:

1) Numer of people that attended only the FSU-Butler game:

From the venn diagram, the number of people that attended only the FSU-Butler game is

[tex]60[/tex]

2) Number of people that did not attend the Marist, Butler, or North Carolina State games:

The number of people that attended none of the games is

[tex]45[/tex]

3) Number of people that attended at least two of these games:

The number of people that attended at least two of these games is evaluated as

[tex]\begin{gathered} 60+70+45+20 \\ =195 \end{gathered}[/tex]

4) Number of people that attended the Marist and Butler games, but not the North Carolina State game:

The number of people that attended the Marist and Butler games, but not the North Carolina State game is evaluated as

[tex]70[/tex]

5) Number of people that attended the North Carolina State or the Butler game:

The number of people that attended the North Carolina State or the Butler game is evaluated as

[tex]\begin{gathered} 50+45+60 \\ =155 \end{gathered}[/tex]

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