मराठी
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 total nu - Mathematics

Advertisements
Advertisements

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 total number of students in the class

आकृती
बेरीज
Advertisements

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.

Total number of students in the class = 17 + 8 + 22 = 47

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Set Language - Exercise 1.6 [पृष्ठ ३५]

APPEARS IN

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

संबंधित प्रश्‍न

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

{3, 5, 7} and {5, 3, 7}


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

{5, 5, 2, 4} and {5, 4, 2, 2}


Write the cardinal number of the following set:

D= {3, 2, 2, 1, 3, 1, 2}


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)


State true or false for the following. Correct the wrong statement.

If A = {0}, then n(A) = 0


State true or false for the following. Correct the wrong statement.

If B = {1, 5, 51, 15, 5, 1}, then n(B) = 6.


If n(A) = 300, n(A ∪ B) = 500, n(A ∩ B) = 50 and n(B’) = 350, find n(B) and n(U)


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 music


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


Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play chess and carrom but not table tennis (Hint: Use Venn diagram)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×