# 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

_{}E) = 85, n(H) = 50, n(H

_{}E) = 10

_{}E) = n(H) + n(E) – n(H

_{}E)

_{}85 = 50 + n(E) – 10

_{}n(E) = 45

_{}H)

_{}n(E – H) = 45 – 10 = 35

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

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