Question

A survey of the people who like the films made in Nepali, English or Hindi languages reported that 50 liked Nepali, 40 liked English, 30 liked Hindi, 24 liked Nepali and 11 English, 19 liked Nepali and Hindi, 13 liked Hindi and English, 6 liked all three and people were found not intended in any films. ​

Answer 1

To solve this problem, we can use the formula:

Total = n(A) + n(B) + n(C) - n(A and B) - n(A and C) - n(B and C) + n(A and B and C)

where:

n(A) = number of people who liked Nepali

n(B) = number of people who liked English

n(C) = number of people who liked Hindi

n(A and B) = number of people who liked both Nepali and English

n(A and C) = number of people who liked both Nepali and Hindi

n(B and C) = number of people who liked both English and Hindi

n(A and B and C) = number of people who liked all three languages

From the given information in the problem, we have:

n(A) = 50

n(B) = 40

n(C) = 30

n(A and B) = 11

n(A and C) = 19

n(B and C) = 13

n(A and B and C) = 6

We can now substitute these values into the formula:

Total = 50 + 40 + 30 - 11 - 19 - 13 + 6

Total = 73

ANSWER: Therefore, there were a total of 73 people who liked at least one of the three languages.