Discussion

In a class of 60, 45 students like music, 50 students like dance, and 5 students like neither. How many students like both music and dance?

Answer: B

Total students = 60. Students liking neither = 5.

Number of students who like at least one activity = n(M ∪ D) = 60 - 5 = 55.

Given n(M)=45, n(D)=50.

n(M ∪ D) = n(M) + n(D) - n(M ∩ D)

55 = 45 + 50 - n(M ∩ D)

55 = 95 - n(M ∩ D)

n(M ∩ D) = 95 - 55 = 40.

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