Question

b)
In a survey, people were asked what types of movies they like. It was found that
75 liked Nepali movies, 60 liked English, 40 liked Hindi, 35 liked Nepali and English
30 liked Nepali and Hindi, 20 liked Hindi and English, 10 liked all three and 25
people were found not interested in any types of movies.
(i) How many people did not like only Hindi films?
(ii) How many people did not like only Nepali or Hindi films?​

Answer 1

Answer:

1. 75+60+35=170

so, 170 people not liked hindi movies.

2. 60 peole not liked nepali and hindi movies

hope the anwer was right.

Answer 2

Answer:

Thus, the number of people required are found to be:

• No. of people who did not like Hindi films only: 50
• No. of people who did not like Nepali or Hindi films only: 60

Step-by-step explanation:

We are given the number of people who like the different movies out of different languages. Assuming the  set of person who like Nepali, English and Hindi be N, E and H respectively, we get:

n(N) = 75

n(E) = 60

n(H) = 40

Now, as few people like movies of two languages, we can represent them as follows:

n(N∩E) = 35

n(N∩H) = 30

n(H∩E) = 20

Now, we are also given the number of people who were or weren't interested in all three types so:

n(N∩E∩H) = 10

n(N∪E∪H)' = 25

Now, we have to calculate people who didn't like Hindi movies, so:

no(N∩E) = n(N∩E) - n(N∩E∩H) + n(N∪E∪H)' = 35 – 10 +25 = 50

Now, we have to calculate the number of people who did not like only Nepali or Hindi movies so:

= no(N∩E) + no(H∩E) = 50+ 10 = 60

[no(H∩E) = n(H∩E) - n(N∩E∩H) = 20 – 10 = 10]

#SPJ2