Q12 of 71 Page 30

In a village there are 60 families. Out of these 28 families speak only Tamil and 20 families speak only Urdu. How many families speak both Tamil and Urdu.

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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