Question

10. In a group of students, 100 students know Hindi,
50 know English and 25 know both. Each student knows
either Hindi or English. How many students are there in the group?

​

Answer 1

Answer:

175

Step-by-step explanation:

100 + 50 = 150

150 + 25 = 175

Answer 2

Answer:

125 students

Step-by-step explanation:

Let U be the set of all students in the group.

Let E be the set of all students who know English.

Let H be the set of all students who know Hindi.

∴H∪E=U

Given n(H)=100 and n(E)=50

n(H∩E)=25

n(U)=n(H)+n(E)−n(H∩E)

=100+50−25

Hence, there are 125 students in the group.

I hope it help you.