Question

Let U be the set of students in a high school. The school has 800 students with 20 students on the gymnastic team and 10 students on the chess team. Select the Venn diagram if three students are on both teams.

Answer 1

B

Explanation:

The correct answer is the one that shows overlap between chess and gym teams. Since 3 are on both, we put a 3 in the center of the diagram. Then we subtract 3 from each number of students, 20 and 10, to get 17 and 7.

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Answer 2

Each part of diagram Venn is shown below

We have:

Total students = 800
Students in Gymnastic team = 20
Students in Chess team = 10
Students in both team = 3

The Venn diagram showing these values is shown in the second picture below