Q. Out of 200 people in a village, 150 can speak Newari language, 80 can speak Bhojpuri, while 30 can't speak any languages. By drawing venn diagram, find the number of people speaking different la...
Let N and B denote the set of people whi can speak Newari and Bhojpuri reapectively.
Now, n(U)=200, n(N)=150, n(B)=80 and(A B)' = 30
i) Let(A B) = x
Representing above information in a venn diagram.
From the venn diagram,
150-x + x +80-x + 30=200
Or, 260-x = 200
Or, x= 260-200
Therefore, x=60.
ii) n(NB) = n(N)+ n(B) - n(NB)
= 150 + 80 - 60
= 170
iii) n(N)+ n(B)= 150-x + 80-x
= 150-60+80-60
= 110
Therefore,
No.of people speaking both language=60
No.of people...
