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Out of 600 mobile owners investigated, 500 owned Nokia hand set and 180 owned Tata hand set; 30 owned both Nokia and Tata hand sets. Is this data correct?
Asked by Topperlearning User | 17 Apr, 2014, 01:18: PM

Let U denote the universal set consisting of all mobile owners, N denote the set of all owners of Nokia hand set and T denote the set of all owners of Tata hand- set.

n(U) = 600, n(N) = 500, n(T) = 180, n(N  T) = 30.
So, we have
n (N T)   = n(N) + n(T) – n(N  T)
= 500 + 180 – 30 = 650

Also, N  T is a subset of U.

But  n (N  T)  n(U)

650  600, which is impossible.

Given data is incorrect.
Answered by | 17 Apr, 2014, 03:18: PM

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