1. Understanding the Venn Diagram:

The Venn diagram shows the number of persons in different professions: Chefs, Teachers, and Lawyers. The overlapping sections represent individuals who belong to more than one profession. The numbers within each section represent the count of individuals in that specific category.

2. Identifying the Target Group:

The question asks for the number of chefs who are also teachers but are *not* lawyers. This corresponds to the section where the "Chefs" and "Teachers" circles overlap, but *excluding* the area where all three circles intersect.

3. Finding the Solution:

Looking at the Venn diagram, we find the overlapping section of Chefs and Teachers has a value of 17. The portion where all three professions overlap (Chefs, Teachers, and Lawyers) has a value of 8. Therefore, to find the number of chefs who are also teachers but not lawyers, we subtract the overlapping section of all three from the overlapping section of Chefs and Teachers: 17 - 8 = 9.

4. Eliminating Incorrect Options:

• Option 1 (8): This represents the number of people who are chefs, teachers, and lawyers.
• Option 2 (9): This is the correct answer, representing chefs and teachers but not lawyers.
• Option 3 (5): This number isn't directly represented in the diagram and is an incorrect calculation.
• Option 4 (7): This number isn't directly represented in the diagram and is an incorrect calculation.

5. Conclusion:

There are 9 chefs who are also teachers but not lawyers.