In a group of 85 people, 50 like Hindi movies, 10 like both Hindi and English movies. How many like English movies and not Hindi. How many like English movies?

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let H denote the set of people who like Hindi movies and E be the set of people who like English movies, then
n(H  E) = 85, n(H) = 50, n(H  E) = 10
We know that,
n(H E) = n(H) + n(E) – n(H E)
 85      = 50 + n(E) – 10
 n(E)   =  45
No. of people who like English movies and not Hindi = n(E – H)
Also, n(E) = n(E – H) + n(E H)
 n(E – H) = 45 – 10 = 35

Answered by  | 4th Jun, 2014, 03:23: PM