In a school hostel there are 100 students out of which 60 drink tea, 50 drink coffee and 30 drink both tea and coffee. Find the number of students who do not take tea or coffee.

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Solution

Since , $n (A \cup B) = n (A) + n (B) - n (A \cap B)$
Number of students who take tea or coffee $= 60 + 50 - 30 = 80$
So, number of students who do not take tea or coffee $= 100 = 80 = 20$

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