A survey was conducted on 110 people of Delhi. It was found that 65 people watched Hindi movie and 51 watched English movie and where as 24 watched both the movies. Find the number of people who did not watch any movie on that day.

Asked by Topperlearning User | 17th Apr, 2014, 11:45: AM

Expert Answer:

Let A be the set of people who watched Hindi movie and B be the set of people who watched English movie.

 

G i v e n : space n open parentheses A close parentheses space equals space 65 comma space n open parentheses B close parentheses space equals space 51 space a n d space n open parentheses A intersection B close parentheses

n open parentheses A union B close parentheses space equals space n open parentheses A close parentheses plus n open parentheses B close parentheses minus n open parentheses A intersection B close parentheses

space space space space space space space space space space space space space space space equals space 65 space plus space 51 space minus 24

space space space space space space space space space space space space space space space equals space 92         

Thus the number of the people who watched either of the movie = 92

So, the number of people who did not watch any movie = 110 – 92 = 18.

Answered by  | 17th Apr, 2014, 01:45: PM