Answer :

Let


Total number of People n(P) = 1000


People who speak Hindi n(H) = 750


People who speak Bengali n(B) = 400


We have P = n(HB)


n(P) = n(H)+n(B)– n (H B)


= 1000 = 750+400 – n (H B)


n (H ∩B) = 150.


150 People can speak both languages.


H = (H–B) (H B) (union is disjoint)


n(H) = n(H–B) +n(H B)


750 = n(H–B)+150


n(H–B) = 600


600 people speak Hindi.


B = (B–H) (H B) (union is disjoint)


n(B) = n(B–H) +n(H B)


400 = n(B–H)+150


n(B–H) = 250


250 people speak Bengali.

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