Question

in a survey of 50 people it was found that 25 people can speak english and 38 can speak hindi.find using venn diagram how many people can speak both the languages

Answer 1

the answer is simple straight formula based

Answer 2

Let the number of people who can speak hindi be E.

Let the number of people who can speak hindi be H.

Given that n(E U H) = 50.

n(E) = 25

n(H) = 38.

Now,

We know that n(E U H) = n(E) + n(H) - n(E ∩ H)

= > 50 = 25 + 38 - n(E ∩ H)

= > 50 = 63 - n(E ∩ H)

= > 63 - 50 = n(E ∩ H)

= > 13 = n(E ∩ H).

Therefore, 13 people can speak both english and hindi languages.

Hope this helps!