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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ९

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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प्रश्न

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

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बेरीज

उत्तर

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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पाठ 1: Set Language - Exercise 1.6 [पृष्ठ ३५]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 1 Set Language
Exercise 1.6 | Q 4. (ii) | पृष्ठ ३५

संबंधित प्रश्‍न

State, whether the pair of sets, given below, are equal sets or equivalent sets:

{7, 7, 2, 1,2} and {1, 2, 7}


Write the cardinal number of the following set:

B = {-3, -1, 1, 3, 5, 7}


Write the cardinal number of the following set:

C = { }


Given:
A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.

Find: n(B)


Given:
A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.

Find: n(A ∪ D)


Verify n(A ∪ B ∪ C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(B ∩ C) – n(A ∩ C) + n(A ∩ B ∩ C) for the following sets

A = {1, 3, 5}, B = {2, 3, 5, 6}, C = {1, 5, 6, 7}


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If J = Set of three sided shapes, K = Set of shapes with two equal sides and L = Set of shapes with right angle, then J ∩ K ∩ L is


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