In the survey, we have the following:
- 8 prefer chocolate
- 6 prefer vanilla
- 2 prefer strawberry
- 14 prefer a mix of the three (chocolate, vanilla, and strawberry)
- 3 do not eat ice cream
In a Venn diagram, the intersection of the three flavors (chocolate, vanilla, and strawberry) represents the people who like all three flavors. The number "14" refers to those that prefer a mix of the three flavors, which can be interpreted as those who enjoy all three flavors together.
Therefore, the number that would be located in the intersection of the three flavors is 14.