Part 1: Answer the following question:

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?

Part 2: Create a Venn diagram to reflect the information in the question. You will not be able to post your Venn diagram in the discussion thread itself, but you should describe your Venn diagram and be certain to address the following questions:

•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?

Can anyone help me with this problem?

Part 1:

To find the number of students who like only tennis and football, we need to subtract the number of students who like both tennis and football from the total number of students who like tennis (22) and the total number of students who like football (25). Since 9 students like both tennis and football, the number of students who like only tennis and football is (22 - 9) = 13.

Similarly, to find the number of students who like only tennis and baseball, we subtract the number of students who like both tennis and baseball from the total number of students who like tennis (22) and the total number of students who like baseball (17). Since 17 students like both tennis and baseball, the number of students who like only tennis and baseball is (22 - 17) = 5.

Finally, to find the number of students who like only baseball and football, we subtract the number of students who like both football and baseball from the total number of students who like football (25) and the total number of students who like baseball (17). Since 20 students like both football and baseball, the number of students who like only baseball and football is (25 - 20) = 5.

Therefore, the number of students who like only tennis and football is 13, the number of students who like only tennis and baseball is 5, and the number of students who like only baseball and football is 5.

Part 2:

A Venn diagram can help us visually represent the relationships between different groups in the survey data. In this problem, we have three categories: tennis, football, and baseball. We can use a Venn diagram with three overlapping circles to illustrate this.

We will need three circles in our diagram, one for each sport. Each circle represents the students who like that particular sport.

The students who like all three sports will be placed in the region where all three circles overlap. This is the intersection of all three sets.

The students who like none of the sports will be placed outside of all three circles. This is the region outside the three sets.

By using the Venn diagram, we can visually see how the different categories overlap and intersect, helping us determine the number of students in each specific category.

I hope this information is helpful! Let me know if there's anything else I can assist you with.