हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ९

In a colony, 275 families buy Tamil newspaper, 150 families buy English newspaper, 45 families buy Hindi newspaper, 125 families buy Tamil and English newspapers, 17 familie - Mathematics

Advertisements
Advertisements

प्रश्न

In a colony, 275 families buy Tamil newspaper, 150 families buy English newspaper, 45 families buy Hindi newspaper, 125 families buy Tamil and English newspaper, 17 families buy English and Hindi newspapers, 5 families buy Tamil and Hindi newspaper and 3 families buy all the three newspaper. If each family buy atleast one of these newspaper then find Number of families buy only one newspaper

आकृति
योग

उत्तर

Let T, E and H represent families buying Tamil newspaper, English newspaper and Hindi newspaper respectively.

n(T) = 275, n(E) = 150, n(H) = 45

n(T ∩ E) = 125, n(E ∩ H) = 17, n(T ∩ H) = 5

n(T ∩ E ∩ H) = 3

Let us represent the given data in Venn diagrams.

Number of families buy only one newspaper

= 148 + 11 + 26

= 185

shaalaa.com
Cardinality of a Set
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Set Language - Exercise 1.6 [पृष्ठ ३५]

APPEARS IN

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

संबंधित प्रश्न

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: A ∪ B AND n(A ∪ 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(B ∪ D)


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)


If n(A) = 25, n(B) = 40, n(A ∪ B) = 50 and n(B’) = 25, find n(A ∩ B) and n(U).


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 = {a, c, e, f, h}, B = {c, d, e, f} and C = {a, b, c, f}


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


In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who like both tea and coffee


In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x, y and z


If n(A ∪ B ∪ C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ∩ C) = 15, n(A ∩ C) = 25 and n(A ∩ B ∩ C) = 10, then the value of x is


In a city, 40% people like only one fruit, 35% people like only two fruits, 20% people like all the three fruits. How many percentage of people do not like any one of the above three fruits?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×