Question
Download Solution PDFIn 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
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Total number of students in class = 60
Students who like music = A + B = 45 …. (1)
Students who like dancing = B + C = 50 …. (2)
Students who like nothing =5
Students who like both music and dancing = B
We know that A + B + C + 5 = 60
From equation 1st,
⇒ 45 + C + 5 = 60
⇒ C = 10
Put the value of C in equation 2nd, we get
⇒ B = 40
Hence, 40 students like both music and dancing.
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