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There are 15 students in art class and 37 students in dance class and 12 students are enrolled in both activities. When two classes meet at different hours find the number of students, who are either in art class or in dance class.
  • a)
    40
  • b)
    52
  • c)
    45
  • d)
    56 
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
There are 15 students in art class and 37 students in dance class and ...
Let A be the set of students in art class and B be the set of students in dance class.)
n(A) =15, n(B) = 37, n (A ∩ B) = 12
When 2 classes meet at different hours
n (A ∪ B) = n(A) + n(B) - n (A ∩ B)
= 15 + 37 - 12
= 52 - 12
= 40
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There are 15 students in art class and 37 students in dance class and ...
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