Question

In a
group
of 40o people, 250 Can Speak
Hindi and 2oo can speak English, How
many people can Speak both Hindi and
English?







​

Answer 1

Answer:

$\sf 50\; People\; can\; Speak \;both\; Hindi \; and\; English .$

Step-by-step explanation:

Let the set of people who speak Hindi be , 'H ' .

Let the set of people who speak English be, 'E ' .

Number of people who speak Hindi = 250

Number of people who speak English = 200

i.e , n(H) = 250 and n(E) = 200

Also, total number of people = 400

i.e, n(H U E ) = 400

We, have to find number of people who can speak both Hindi and English? [n(H ∩ E )]

∴ n(H U E ) = n(H) + n(E) - n(H ∩ E )

$\implies$ 400 = 250 + 200 - n(H ∩ E )

$\implies$ 400 = 450  - n(H ∩ E )

$\implies$  n(H ∩ E ) = 450 - 400 =50