Question:
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?
Answer:
Given total number of students = n(U) = 600
Number of students taking Tea = n(T)= 150
Number of students taking Coffee = n(C)= 225
Number of students taking both tea and coffee = n(T∩C) = 100`
Number of students either taking tea or coffee
n(T∪C) = n(T) + n(C) - n(T∩C)
= 150 + 225 - 100
= 375 - 100
= 275
Now Number of students neither taking tea nor coffee
= 600-275
= 325
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