In a survey of 120 students ,it was found that 17 drink neither tea nor coffee, 88 drink tea and 26 drink coffee. Find the number of people who drink both tea and coffee.
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Answer:
11 students drink both tea and coffee
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Given,
Total number of students = 600
Number of students who were drinking Tea = n(T) = 150
Number of students who were drinking Coffee = n(C) = 225
Number of students who were drinking both Tea and Coffee = n(T ∩ C) = 100
n(T U C) = n(T) + n(C) – n(T ∩ C)
= 150 + 225 -100
= 375 – 100
= 275
Hence, the number of students who are drinking neither Tea nor Coffee = 600 – 275 = 325
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