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 like both tea and coffee

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 like both tea and coffee

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 like both tea and coffee = 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. (i) | पृष्ठ ३५

संबंधित प्रश्‍न

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

{8, 6, 10, 12} and {3, 2, 4, 6}


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)


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)


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.


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 do not like tea


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 Total number of families in the colony


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


What does the "cardinality" of a set represent?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×