Answer :

Given

total no families in the village n(A∪B) = 60

No. of families speak only Tamil n(A) = 28

No. of families speak only Urdu n(B) = 20

To find families speak both Tamil and Urdu n(A∩B) let us use the result

n(A∪B) = n(A) + n(B) – n(A∩B)

n(A∩B) = n(A∪B)– [n(A) + n(B)]

= 60 – [28 + 20]

= 60 – 48

= 12

Number of families speak both Tamil and Urdu are 12

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