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Set Theory with Venn Diagrams

Updated: Feb 9


This is a problem from my Teachers Pay Teachers Store. At first thought, you might think, where do I start? But, applying the rules of set theory and using the Venn diagram to organize your reasoning, it is a very interesting problem. Visit me on Teachers Pay Teachers and find out how you can find the solution to this problem. By solving the Venn diagram problem, you will also be able to create many problems using the template to find the solution.


Example: Part of the information were given to indicate the number of students registered at the educational workshop. Use the information given to answer the questions below.


5 students are registered for all three subjects - Math, English and Science

8 students are registered in Math and Science only

7 students are registered in English and Science only.

9 students are registered in Math and English only

20 students registered for the Math Workshop

15 students registered for the English Workshop

20 students registered for the Science Workshop


a. How many students only registered for the Math Workshop?

b. How many students only registered for the English Workshop?

c. How many students only registered for the Science Workshop?

d. How many students are there in total at the educational workshop?


Created by Don Sabado, (c) 2020



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