Given:
People who speak Hindi = 50
People who speak English = 20
People who speak both English and Hindi = 10
To Find: People who speak at least one of these two languages
Let us consider,
People who speak Hindi = n(H) = 50
People who speak English = n(E) = 20
People who speak both Hindi and English = n(H ∩ E) = 10
People who speak at least one of the two languages = n(H ∪ E)
Venn diagram:
Now, we know that,
n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
Therefore,
n(H ∪ E) = n(H) + n(E) – n(H ∩ E)
= 50 + 20 – 10
= 60
Thus, People who speak at least one of the two languages are 60.
