In a class of 60 students, 45 students like music, 50 students like dancing, 5 students like neither. Then the number of students in the class who like both music and dancing is

Question

In a class of 60 students, 45 students like music, 50 students like dancing, 5 students like neither. Then the number of students in the class who like both music and dancing is, 35, 40, 50, 5

MARKS App · Accepted Answer

Let ' x ' be the number of students wholikes both music and dance. 5 students likes neither music nor dancing. Hence, total number of remaining students = 60 − 5 = 55 Nowfrom Venn diagram, 45 − x + x + ∴ 95 − x = 55 ∴ x = 95 − 55 = 40

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