Please help me on this 4 set theory, I don't know where to start.

52—watched Football
56—watched Basketball
62—watched Tennis
60—watched Golf
19—watched Football and Tennis
21—watched Football and Basketball
20—watched Basketball and Tennis
27—watched Football and Golf
30—watched Basketball and Golf
21—watched Tennis and Golf
3—watched Football, Basketball and Tennis
15—watched Football, Basketball and Golf
10—watched Football, Tennis and Golf
10—watched Basketball, Tennis and Golf
3—watched all four of these sports
5—Don't watched any of these four sports.

Use a venn diagram to answer each question

(a) How many of these viewers watched Football, Basketball and Tennis but not Golf

(b) How many watched exactly one of these sport

(c) How many watched exactly two of these four sport?

Draw 4 circles that make your venn diagram.

Start in the middle and work your way out. That is place the 3 in the very center of the 4 connected circles : )
Remember that you will have the number 5 outside of the four circles but inside of your Universal set box : )

Yes I have done that but how to enter the others? I my to subtract 3 from each portion?

Please help me. What about the other values? I my to subtract 3 from each each value in order to get the correct sum of each circle?

To answer these questions using the given information, we can use a Venn diagram. A Venn diagram is a diagram that represents sets or groups of objects or events using overlapping circles.

First, let's start by drawing a Venn diagram with four circles to represent the four sports: Football, Basketball, Tennis, and Golf.

Label the circles accordingly. Now, based on the given information, we can fill in the diagram step by step.

Step 1: Fill in the intersection values:
- From the data, we know that 3 viewers watched all four of these sports. So, write 3 in the overlapping region of all four circles.

Step 2: Fill in the values for the intersections between two circles:
- For example, we know that 19 viewers watched Football and Tennis. So, write 19 in the overlap between Football and Tennis.
- Similarly, fill in the values for other two-circle intersections based on the given data.

Step 3: Fill in the values for the individual circles:
- For example, we know that 52 viewers watched Football, so write 52 in the Football circle.
- Similarly, fill in the values for the other three circles based on the given data.

Once you have filled in all the values, you can now answer the questions using the Venn diagram.

(a) To determine the number of viewers who watched Football, Basketball, and Tennis but not Golf, look at the intersection of those three circles. You can find that the value in that region is 3. So, the answer to (a) is 3.

(b) To determine the number of viewers who watched exactly one of these sports, count the values in each individual circle that are not shared with any other circle. Add up these values to get the total. In this case, there are viewers in the Football circle (52), Basketball circle (56), Tennis circle (62), and Golf circle (60) that are not shared with any other circles. Calculating the total would give you the answer.

(c) To determine the number of viewers who watched exactly two of these four sports, count the values in each two-circle intersection. Add up these values to get the total. For example, count the values in the intersection of Football and Basketball, Football and Tennis, Basketball and Tennis, etc. Calculate the total to find the answer.

Using the Venn diagram, you can find answers to these questions based on the given information.