in a group of 400 people,250 can speak Hindi, and 200 people can speak English. how many people can speak both Hindi and English
Answer (1)
30th Jun, 2021
Dear Aspirant
Hope you are doing well
Now let me go through your question
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
It is more easy if you make its venn diagram
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