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In a survey of students about favorite sports, the results include 22 who like

tennis, 25 who like football, 9 who like tennis and football, 17 who like tennis and

baseball, 20 who like football and baseball, 6 who like all three sports, and 4 who like

none of the sports. How many students like only tennis and football? How many students

like only tennis and baseball? How many students like only baseball and football?



 How can a Venn diagram help you solve the problem?

 How many circles will you need in your diagram

 Where will you place the students who like all 3 sports

 Where will you place the students who like none of the sports?

Verified Answer :

1) Venn Diagram is used to organize data
2) Four circles. Three intersection circles, and one which contains other three circles
3) In the intersection area of three circles.
4) In the circle which contains other three circles, but not inside any of the intersecting circles.

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