Q. 64.0( 5 Votes )

In a group of 50

Answer :

Given:


In a group of 50 persons,


-30 like tea


-25 like coffee


-16 like both tea and coffee


To find:


(i) People who like either tea or coffee.


Let us consider,


Total number of people = n(X) = 50


People who like tea = n(T) = 30


People who like coffee = n(C) = 25


People who like both tea and coffee = n(T C) = 16


People who like either tea or coffee = n(T C)


Venn diagram:



Therefore,


n(T C) = n(T) + n(C) - n(T C)


= 30 + 25 – 16


= 39


Thus, People who like either tea or coffee = 39


(ii) People who like neither tea nor coffee.


People who like neither tea nor coffee = n(X) – n(T C)


= 50 – 39


= 11


Therefore, People who like neither tea nor coffee = 11


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Let A = {a, b, c,RS Aggarwal - Mathematics

If A and B be twoRS Aggarwal - Mathematics

(i) If A <span laRS Aggarwal - Mathematics

Using propeMathematics - Exemplar

If A and B are twRS Aggarwal - Mathematics

In a town of 10,0RS Aggarwal - Mathematics

If A and B are twRS Aggarwal - Mathematics

If <a name="MTBlaRS Aggarwal - Mathematics

If n(A) = 3 and nRS Aggarwal - Mathematics

For any sets A, BRS Aggarwal - Mathematics