In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee.

Let T be the set of students who like tea and C be the set of students who like coffee. Here n(T) = 150, m (C) = 225 andn(C T) = 100 We know thatn(C T) = n(C) + n(T) - n(C T) = 150 + 225 - 100 = 275 Number of students taking either tea or coffee += 275 Number of students taking neither tea nor coffee = 600 - 275 = 325

In a survey of 600 students in a school, 150 students were found …

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