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PSAT/NMSQT
PSAT Math Test - No Calculator Section

Students Not in Any Club

Very Hard Problem Solving And Data Analysis Probability And Statistics

In a particular school, there are 300 students enrolled in three different clubs: the Math Club, the Science Club, and the Art Club. 100 students belong to the Math Club, 120 students belong to the Science Club, and 80 students belong to the Art Club. Each student can belong to more than one club, and the following overlaps are known:

  • 40 students are members of both the Math Club and Science Club.
  • 25 students are members of both the Math Club and Art Club.
  • 30 students are members of both the Science Club and Art Club.
  • 10 students are members of all three clubs.

What is the number of students who do not belong to any of the clubs?

Hint

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Correct10.3K
% Correct78%