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Draw three circles that overlap such that there is an area in the center that is part of all three circles.  Label the circles C, R, and W.


There are 3 people who will purchase all three items, so put a 3 in the center area that is part of all three circles.


There are 7 people who are going to buy both a car and a refrigerator, but that includes the 3 people who are buying all three, so that leaves 4 that are ONLY buying a car and a refrigerator.  Put a 4 in the area where just the C circle and the R circle overlap.


Using the same sort of logic, the area of overlap between the W and R circles gets a 6, and the overlap between the C and W circles gets a 12.


Now, 12 plus 3 plus 4 = 19 is the number of people who are going to buy a car and something else, so 33 minus 19 = 14 is the number that is only going to buy a car.  So 14 goes in the part of the C circle that has no overlap.


Likewise, you get a 5 in the no-overlap part of the R circle, and a 13 in the no-overlap part of the W circle.


Now, using your diagram, you can start to answer the questions.


Only a car: the number in the non-overlap part of the C circle
Only a washer and only a refrigerator -- you should be able to do these yourself.
A car and a washer but not a refrigerator.  The part of the diagram where circles C and W overlap but not including the center part that is also included in circle R.
None of these items.  Add up all the numbers in your diagram, you should get 57.  But the survey was taken from 100 people, so 100 - 57 = ?


Here's a picture of the diagram before you start filling in the information.


{{{drawing(
500, 500, -5, 5, -5, 5,
circle(2, 2, 3),
circle(0, -2, 3),
circle(-2,2,3)
)}}}


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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