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

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 do not like tea

Advertisements
Advertisements

प्रश्न

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 do not like tea

आकृति
योग
Advertisements

उत्तर

Let ’T’ be the set of people like Tea

Let ‘C’ be the set of people like Coffee

n(T ∩ C) = 45, n(T) = 35 and n(C) = 20

Let X be the number of people like both Tea and Coffee.

By using the Venn-diagram

From the Venn-diagram we get.

35 – x + x + 20 – x = 45

55 – x = 45

55 – 45 = x

10 = x

People do not like tea

= 20 – x

= 20 – 10

= 10

shaalaa.com
  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 5. (ii) | पृष्ठ ३५

संबंधित प्रश्न

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

{2, 4, 6, 8, 10} and {a, b, d, e, m}


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(C ∩ 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}


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


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 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 do not like coffee


In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in both the subjects. Find the total number of students who appeared in the examination, if they took examination in only two subjects


For any three sets A, B and C, (A – B) ∩ (B – C) is equal to


If Set A has the unique elements {2, 3, 5}, which of the following correctly represents its cardinality?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×