There are 15 students in art class and37 students in dance class and 12 students are enrolled in bot...........

Mathematics (NDA) Set theory

There are 15 students in art class and37 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.

छोटे Courses बड़े Results

Master Set theory

Prepare through Micro-courses

Try Now

Explanation:

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