Problem 23 of 25sta-023
In a class of 40 students, 18 are in the chess club, 15 are in the robotics club, and 6 are in both clubs. How many students in the class are in neither club?
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Solution walkthrough1:39
- Draw a box for all students and two overlapping circles for the clubs. Start with the overlap: .
- Chess only: . Robotics only: .
- Students in at least one club: . That is the same as .
- Everyone else is outside both circles: students are in neither club.
- Traps: counts the students twice, takes the away one time too many, and is the students in a club.