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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


svkgarments2018 30th Jun, 2021
Answer (1)
Ujjwal Kumawat 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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