मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता 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 - Mathematics

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

आकृती
बेरीज
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
  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 5. (ii) | 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}


Write the cardinal number of the following set:

E = {16, 17, 18 19}


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)


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 ∪ C)


If n(A) = 25, n(B) = 40, n(A ∪ B) = 50 and n(B’) = 25, find n(A ∩ 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 total number of students in the class


Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?


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)


What is the cardinal number of an empty set?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×