A Principle of Inclusion and Exclusion Problem(Very Easy)
Probability
Level
1
In Class A, 15 students participate in the science club. 18 students participate in the math club. 3 students participate in both clubs. How many students are in the class?
The answer is 30.
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1 solution
The students that participate in both clubs are being counted twice. Therefore, the formula for this equation is AUB (U equals union) equals A plus B minus A intersect B (The intersect sign is an upside down U). So 15 plus 18 minus 3 equals 30. The best way to solve this is to make a Venn diagram.