In a survey of 550 students in a school, it was found that 175 students drink milk, 300 students drink tea and 110 students drink both milk and tea. Find the number of students who drink nether milk nor tea.

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Solution

Total no. of students $= 550$ .
No. of students drink milk $= 175 = n (A)$
No. of students drink tea $= 300 = n (B)$
No. of students drink both milk and tea $= 110 = n (A \cap B)$
No. of students drink either milk or tea $= n (A \cup B) = n (A) + n (B) - n (A \cap B)$
$n (A \cup B) = 175 + 300 - 110 = 375$
No. of students drink nether milk or tea $= 550 - n (A \cup B) = 550 - 375 = 125$

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