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100 students were asked about the flavor of ice cream consumed in the past week:

  • 30 students reported that they ate vanilla ice cream,
  • 30 students reported that they ate chocolate,
  • 40 students reported that they ate strawberry,
  • 5 students reported eating all three flavors,
  • 12 students reported eating vanilla and chocolate,
  • 15 students reported eating chocolate and strawberry,
  • 17 students reported eating vanilla and strawberry.

Designing a Venn Diagram that will be showing the number of elements in sets. Let V denote "set of people who ate vanilla ice cream," let S denote the "set of people who ate strawberry ice cream," and let C denote the "set of people who ate chocolate ice cream."

|V-(C ? S)| = 70

|C-(V ? S)| = 70

|S-(V ? C)| = 60

|V ? C| = 12

|V ? S| = 17

|C ? S| = 15

|V? S ? C| = 5

Venn Diagram for sets: Vanilla, Chocolate, and Strawberry

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