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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. Find the number - Mathematics

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Question

In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. Find the number of students who take part in only drama

Diagram
Sum

Solution

Let M be the set of all students take part in music.

Let D be the set of all students take part in drama.

n(M) = 25, n(D) = 30 and n(M ∩ D) = 8

By using Venn-diagram

From the Venn-diagram we get.

Number of students take part in only drama = 22

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Cardinality of a Set
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Chapter 1: Set Language - Exercise 1.6 [Page 35]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 1 Set Language
Exercise 1.6 | Q 4. (ii) | Page 35

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