In a hoatel of 750 students .430 students are attending for painting class and 195 students are attending for both painting and music class

Answers 2

Answer:

235 is not attending painting class

Concept:

To get the union of two sets A and B, use the union B formula. The union may be obtained by combining all of A and B's components into one set and deleting duplicates.

Given:

Total students = 750.

The number of students attending painting class = 430.

The number of students attending both painting and music classes = 195.

Find:

The number of students attending music class.

Solution:

Total students P(A∪B) = 750.

Painting class P(A) = 430.

The music class is P(B).

Paint and music class P(A∩B) = 195.

P(A∪B) = P(A) + P(B) - P(A∩B)

750 = 430 + P(B) - 195

P(B) = 750 - 430 +195

P(B) = 515.

Hence, the total students attending music class are 515.

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