Question

31. In a group of 400 people in USA, 250 can speak Spanish and 200 can speak English. How many people can speak both Spanish and English?
60
80
50
40​

Answer 1

Step-by-step explanation:

ANSWER

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.