In a group of 1000 people there are 750 who can speak Hindi and 400 who can speak Bengali . How many can speak Hindi only? How can speak Bengali only ? How many can speak both Hindi and Bengali?

Answers (1)

Solution:     n(Hcup B)=1000, n(H)=750 , n(B)=400

                    n(Hcup B)=n(H)+n(B)-n(Hcap B)

              	herefore     1000=750+400-n(Hcap B)

             Rightarrow      n(Hcap B)=150.

           In other words 150 person can speak both Hindi

          and bengali .

          Only Hindi :  n(H)-n(Hcap B)=750-150=600

         Only Bengali :  n(B)-n(Hcap B)=400-150=250. 

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