Question

At Bison High School, there are 16 students in English Club, 16 students in Science Club and 20 students in Math Club. Of these students, there are 5 students in both the English and Science Clubs; 6 students in both the Science and Math Clubs; and 8 in both the English and Math Clubs. If only 2 students are in all three clubs, how many students are in at least one of the clubs?

Answer 1

There are 8 students in both Eng and Math.
There are 6 students in both Math and Sci.
There are 5 students in both Eng and Sci.
There are 2 in all the clubs.
 
Using the Venn diagram, you can determine the number of students in one club only.
There is 1 student in Eng only.
There are 4 in Math only.
There are 3 in Sci only.
 
The total would be 29 students in at least one of the clubs.