If 200 people like tea, 300 people like coffee and 250 people like both. Is the data correct?(a) True(b) FalseI had been asked this question in final exam.The question is from Practical Problems on Union and Intersection of Two Sets topic in division Sets of Mathematics – Class 11

If 200 people like tea, 300 people like coffee and 250 people like bot

1.	If 200 people like tea, 300 people like coffee and 250 people like both. Is the data correct?(a) True(b) FalseI had been asked this question in final exam.The question is from Practical Problems on Union and Intersection of Two Sets topic in division Sets of Mathematics – Class 11
Answer» The correct OPTION is (b) False For explanation: Given, N(T)=200, n(C)=300, n(T∩C) = 250 We KNOW, n(T∩C) ≤ n(T) and n(T∩C) ≤ n(C) But here n(T∩C) ≤ n(T) is not valid so, data given is incorrect.

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