Question

In group of 400 people 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?​

Answer 1

Answer:

50

Step-by-step explanation:

Let H be the set of people who speak Hindi, and E be the set of people who speak English

∴n(H∪E)=400,n(H)=250,n(E)=200

n(H∩E)=?

We know that:

n(H∪E)=n(H)+n(E)−n(H∩E)

∴400=250+200−n(H∩E)

⇒400=450−n(H∩E)

⇒n(H∩E)=450−400

∴n(H∩E)=50

Thus, 50 people can speak both Hindi and English.

Answer 2

Answer:

50

Step-by-step explanation:

P(A union b )= p(a) +p( b) -p( a intersection b)

400=250+200-x

X=50